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          <link:loc xlink:type="locator" xlink:href="tem-20250630.xsd#tem_LegalFeesPaid" xlink:label="tem_LegalFeesPaid"/>
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          <link:loc xlink:type="locator" xlink:href="tem-20250630.xsd#tem_AllenCompanyWarrantMember" xlink:label="tem_AllenCompanyWarrantMember"/>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingRights" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingRights"/>
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          <link:loc xlink:type="locator" xlink:href="tem-20250630.xsd#tem_TemporaryEquityStockIssuedDuringThePeriodSharesNewIssues" xlink:label="tem_TemporaryEquityStockIssuedDuringThePeriodSharesNewIssues"/>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccountsPayableCurrent" xlink:label="us-gaap_AccountsPayableCurrent"/>
          <link:loc xlink:type="locator" xlink:href="tem-20250630.xsd#tem_SubscriptionAxis" xlink:label="tem_SubscriptionAxis"/>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredOfferingCosts" xlink:label="us-gaap_DeferredOfferingCosts"/>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CostsAndExpenses" xlink:label="us-gaap_CostsAndExpenses"/>
          <link:loc xlink:type="locator" xlink:href="tem-20250630.xsd#tem_ClassAVotingStockMember" xlink:label="tem_ClassAVotingStockMember"/>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent"/>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ShortTermLeaseCost" xlink:label="us-gaap_ShortTermLeaseCost"/>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CommitmentOfTheCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Commitment of the counterparty.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CommitmentOfTheCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitment Of The Counterparty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CommitmentOfTheCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Commitment of the counterparty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfGainLossOnInvestmentsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Gain (Loss) on Securities [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Fair Value Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accounts receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityLiquidationPreference_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Liquidation Preference</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityLiquidationPreference_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Temporary equity liquidation preference</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityLiquidationPreference_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Liquidation Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TwelveMonthsEndedThirtyFirstOfDecemberTwoThousandAndTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Twelve months ended thirty first of december two thousand and twenty five.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TwelveMonthsEndedThirtyFirstOfDecemberTwoThousandAndTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Twelve Months Ended Thirty First Of December Two Thousand And Twenty Five [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ResearchAndDevelopmentProcessMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Research and development process.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ResearchAndDevelopmentProcessMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research And Development Process [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Postal Zip Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentSinkingFundPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Sinking Fund Payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentSinkingFundPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument, sinking fund</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other long-term liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other long-term liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueRemainingPerformanceObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue, Remaining Performance Obligation, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueRemainingPerformanceObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue, remaining performance obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentsToBeMadeInConsiderationOfCommitments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to be Made in Consideration of Commitments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentsToBeMadeInConsiderationOfCommitments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payments to be made in consideration of commitments.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentsToBeMadeInConsiderationOfCommitments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments to be made in consideration of commitments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TrdArrModifiedDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trd Arr Modified Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TrdArrModifiedDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Trd arrangement modified date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TrdArrModifiedDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Modified Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, State or Country Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationAcquisitionRelatedCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Acquisition Related Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationAcquisitionRelatedCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquisition-related costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DiscreteIncomeTaxBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Discrete income tax benefit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DiscreteIncomeTaxBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Discrete Income Tax Benefit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DiscreteIncomeTaxBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Discrete income tax benefit.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Costs and Expenses [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Cost and operating expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalConvertibleSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Convertible Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalConvertibleSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional convertible senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalConvertibleSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Convertible Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid, Excluding Capitalized Interest, Operating Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payment of interest on debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Cash paid during the year for interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Loss before (provision for) benefit from income taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AndrewPolovinMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Andrew Polovin.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AndrewPolovinMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Andrew Polovin [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExcerciseOfWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Excercise of warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExcerciseOfWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Excercise Of Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExcerciseOfWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Excercise Of Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsAndOtherNoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments and Other Noncurrent Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentsAndOtherNoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investments and other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share based compensation by share based award unrecognized compensation equity instruments other than options</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Operating Segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of operating segment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Tranche One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Combinations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Expected Amortization, Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SubscriptionFeePayableForYearWise_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">subscription fee payable for year wise.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SubscriptionFeePayableForYearWise_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subscription Fee Payable For Year Wise</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SubscriptionFeePayableForYearWise_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subscription fee payable for year wise</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReclassificationsOfTemporaryToPermanentEquityShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reclassifications of temporary to permanent equity shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReclassificationsOfTemporaryToPermanentEquityShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reclassifications Of Temporary To Permanent Equity Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReclassificationsOfTemporaryToPermanentEquityShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of redeemable convertible preferred stock to common stock in connection with initial public offering (Shares)</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DavideREpsteinMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Davide R Epstein.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantAssetFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant asset fair value disclosure.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Finite-lived intangible asset, useful life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Useful Life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RelatedPartyAssetNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Asset Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RelatedPartyAssetNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Related party asset noncurrent.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RelatedPartyAssetNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related party asset, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG-5PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series G5 Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG-5PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series G-5 Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG-5PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series G - 5 Preferred Stock Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant contract asset current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Contract Asset Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid expenses and other current assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Temporary equity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity [Text Block]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Operating Capital [Abstract]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ConversionOfNonVotingCommonStockIntoVotingCommonStockShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion of non voting common stock into voting common stock shares.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ConversionOfNonVotingCommonStockIntoVotingCommonStockShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of non-voting common stock to Class A common stock (Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EricLefkofskyOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Eric Lefkofsky One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EricLefkofskyOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Eric Lefkofsky.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EricLefkofskyOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Eric Lefkofsky [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquitySecuritiesFvNiRealizedGainLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Securities, FV-NI, Realized Gain (Loss)</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevenueFromTheArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue From The Arrangement</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Issued</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ChiefFinancialOfficerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Chief Financial Officer [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ChiefFinancialOfficerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Jim Rogers [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ChiefOperatingOfficerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Chief Operating Officer [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ChiefOperatingOfficerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ryan Fukushima [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentVariableInterestRateSpreadPercentageBasedOnWhichTheBorrowingTypeCanBeConvertedIntoBaseRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument variable interest rate spread percentage based on which the borrowing type can be converted into base rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentVariableInterestRateSpreadPercentageBasedOnWhichTheBorrowingTypeCanBeConvertedIntoBaseRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Variable Interest Rate Spread Percentage Based On Which The Borrowing Type Can Be Converted Into Base Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentVariableInterestRateSpreadPercentageBasedOnWhichTheBorrowingTypeCanBeConvertedIntoBaseRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument variable interest rate spread percentage based on which the borrowing type can be converted into base rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Convertible Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net proceeds from the offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedDividendRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Expected Dividend Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedDividendRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected dividend yield [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Prepaid Expense and Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Prepaid expenses and other current assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EventAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Event [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EventAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Event Axis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, State or Province</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InvestorAgreementWithSeriesGThreeRedeemablePreferredStockholdersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Investor agreement with series g three redeemable preferred stockholders.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InvestorAgreementWithSeriesGThreeRedeemablePreferredStockholdersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investor Agreement With Series G Three Redeemable Preferred Stockholders [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainLossDueChangeFairValueOfWarrantLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Company recognized gain (loss) due change fair value of warrant liability</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainLossDueChangeFairValueOfWarrantLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company recognized gain (loss) due change fair value of warrant liability</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityDividendsAdjustment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Dividends on Series A, B,&#160;B-1,&#160;B-2,&#160;C, D, E, F, G,&#160;G-3,&#160;and&#160;G-4&#160;preferred shares</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_HealthCareOrganizationRevenueSourcesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Health Care Organization, Revenue Sources [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TwoThousandAndTwentyFourEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand And Twenty Four Equity Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TwoThousandAndTwentyFourEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 Equity Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TwoThousandAndTwentyFourEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two Thousand And Twenty Four Equity Incentive Plan Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityRevenueRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Liability, Revenue Recognized</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationContingentConsiderationLiabilityBasedOnRevenueMilestone_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business combination contingent consideration liability based on revenue milestone</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncomeTaxLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Income tax.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncomeTaxLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmbryAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ambry Acquisition [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmbryAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ambry Acquisition.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmbryAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ambry Acquisition [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NetWorkingCapitalAdjustmentSurplusDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Net working capital adjustment surplus deficit.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NetWorkingCapitalAdjustmentSurplusDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Working Capital Adjustment Surplus Deficit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NetWorkingCapitalAdjustmentSurplusDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net working capital adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCostAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease, Cost [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NineMonthsEndedThirtyFirstOfDecemberTwoThousandAndTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nine Months Ended Thirty First Of December Two Thousand And Twenty Five [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NineMonthsEndedThirtyFirstOfDecemberTwoThousandAndTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Nine months ended thirty first of December two thousand and twenty five.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FiniteAndIndefinitelyLivedIntangibleAssetsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Finite and indefinitely lived intangible assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FiniteAndIndefinitelyLivedIntangibleAssetsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite And Indefinitely Lived Intangible Assets [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InsightsProductMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Insights Product [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfDebtIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Debt Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfDebtIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of deferred offering costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Debt Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of deferred financing fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Treasury Stock, Common, Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Treasury stock common shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonShares_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning Balance, Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonShares_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending Balance, Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FeesToBeReceivedFromCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fees to be Received from Counterparty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FeesToBeReceivedFromCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fees to be received from counterparty.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FeesToBeReceivedFromCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fees to be received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalAsExtensionsOccurredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional as Extensions Occurred [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalAsExtensionsOccurredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional as extensions occurred member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalAsExtensionsOccurredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional as Extensions Occurred [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss per share attributable to common stockholders, basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss per share attributable to common shareholders, basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Issuance Costs, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long term debt unamortized debt issuance costs gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesDMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series d.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesDMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series D [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesDMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series D [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Acquisitions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesAcquisitions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock issued in connection with business combination, Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Liability, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Related party deferred revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NadjaWestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Nadja West [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NadjaWestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nadja West [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NadjaWestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Nadja West member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Due to related parties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other Liabilities, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Related party transaction due to related party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNonCurrentLiabilitiesDeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired and Liabilities Assumed Non Current Liabilities Deferred Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNonCurrentLiabilitiesDeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed non current liabilities deferred revenue.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNonCurrentLiabilitiesDeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNonCurrentLiabilitiesDeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Deferred revenue, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_UpfrontPaymentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Upfront Payment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_UpfrontPaymentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Upfront payment member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_UpfrontPaymentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Upfront Payment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BaseRateOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Base rate one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BaseRateOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Base Rate One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation, expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Allocated share based compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContingentConsiderationClassifiedAsEquityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Consideration Classified as Equity, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContingentConsiderationClassifiedAsEquityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent consideration classified as equity, fair value disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContingentConsiderationClassifiedAsEquityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Holdback liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentExtendedMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt instrument extended maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentExtendedMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument extended maturity date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseInInterestRatePercentageOnTermLoanFacility_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase in interest rate percentage on term loan facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseInInterestRatePercentageOnTermLoanFacility_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase In Interest Rate Percentage On Term Loan Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseInInterestRatePercentageOnTermLoanFacility_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase in interest rate percentage on term loan facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationDueInFourthYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Obligation, to be Paid, Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationDueInFourthYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_OperatingCostAndExpensesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating Cost and Expenses [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_OperatingCostAndExpensesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Cost and Expenses [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings (Accumulated Deficit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated deficit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GainLossDueToChangesInFairValueOfWarrantAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gain loss due to changes in fair value of warrant assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GainLossDueToChangesInFairValueOfWarrantAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain Loss Due To Changes In Fair Value Of Warrant Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GainLossDueToChangesInFairValueOfWarrantAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value of warrant asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RedemptionOfConvertiblePromissoryNote_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Redemption of convertible promissory note.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RedemptionOfConvertiblePromissoryNote_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redemption Of Convertible Promissory Note</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RedemptionOfConvertiblePromissoryNote_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redemption of convertible promissory note</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContingentConsiderationCashPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contingent consideration cash payment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContingentConsiderationCashPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Consideration Cash Payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContingentConsiderationCashPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent consideration cash payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AstrazenecaWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Astrazeneca warrant [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AstrazenecaWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Astrazeneca Warrant [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AstrazenecaWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Astrazeneca warrant.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantOptionalExerciseElectionWindowTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant optional exercise election window term.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantOptionalExerciseElectionWindowTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Optional Exercise Election Window Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantOptionalExerciseElectionWindowTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant optional exercise election window term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Operating Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in operating activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OptionIndexedToIssuersEquityEquityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Option Indexed to Issuer's Equity [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of Series</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductsAndServicesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Product and Service [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Other Comprehensive Income (Loss), Net of Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated Other Comprehensive (Loss) Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Term of Contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term of lease agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and equipment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentOfNetWorkingCapitalAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment of net working capital adjustment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentOfNetWorkingCapitalAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment Of Net Working Capital Adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentOfNetWorkingCapitalAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payment of net working capital adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContractWithCustomerLiabilityOtherNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contract with customer, liability, other, noncurrent.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContractWithCustomerLiabilityOtherNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Liability, Other, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContractWithCustomerLiabilityOtherNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred other income, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TechnologyResearchAndDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Technology Research and Development [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and equipment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Property and equipment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Redeemable Convertible Preferred Stock Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Liability, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NonVotingCommonStockIssuedInConnectionWithBusinessCombinations_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non-voting common stock issued in connection with business combinations.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NonVotingCommonStockIssuedInConnectionWithBusinessCombinations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Voting Common Stock Issued In Connection With Business Combinations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NonVotingCommonStockIssuedInConnectionWithBusinessCombinations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-voting&#160;common stock issued in connection with business combinations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VestingAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Par or Stated Value Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock par or stated value per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_JamesRogersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">James Rogers.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_JamesRogersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">James Rogers [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeStockOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock options outstanding [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationDueInSecondYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Obligation, to be Paid, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationDueInSecondYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CustomerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CustomerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Customer.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Carrying Amount, Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanAgreementWithAresCapitalCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term loan agreement with ares capital corporation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanAgreementWithAresCapitalCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan Agreement With Ares Capital Corporation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExpirationDateJuneFifteenTwentyTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Expiration Date June Fifteen Twenty Twenty Five [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExpirationDateJuneFifteenTwentyTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Expiration date june fifteen twenty twenty five.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExpirationDateJuneFifteenTwentyTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expiration Date June 15, 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionProFormaInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition, Pro Forma Information [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTaxAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income (Loss), Net of Tax, Attributable to Parent [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTaxAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Comprehensive Loss, net of tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series B [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series B [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfCashFlowsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Cash Flows [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CounterpartyNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accounting policies.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Policies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Number of Securities Called by Warrants or Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Class of warrants or rights number of securities covered by warrants or rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpensesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling, General and Administrative Expenses [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpensesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Selling, General and Administrative [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unvested RSAs [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContractPerformanceObligationAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract Performance Obligation [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AcquiredFiniteLivedIntangibleAssetsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Acquired Finite-Lived Intangible Assets [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesBBOneAndBTwoRedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series B B One And B Two Redeemable Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BalanceSheetRelatedDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Balance Sheet Related Disclosures [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Components [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SOFROneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sofr one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SOFROneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SOFR One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Calculation for Basic and Diluted Net Loss Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeRelatedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee-related Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeRelatedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued compensation and employee benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Related Party Transactions, by Related Party [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Share based compensation by share based award equity instruments other than options granted during the period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Grants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional Term Loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Term Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Antidilutive Securities Excluded From the Computation of Earnings Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GainLossDueToSavingsInFuturePaymentsDueOnIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gain loss due to savings in future payments due on intangible assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GainLossDueToSavingsInFuturePaymentsDueOnIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain Loss Due To Savings In Future Payments Due On Intangible Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GainLossDueToSavingsInFuturePaymentsDueOnIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gain loss due to saving in future payments due on intangible assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_VotingCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Voting Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_VotingCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Voting common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesGTwoRedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series G Two Redeemable Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Expected Amortization, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Operating Lease Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total long-term lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MasterServicesAgreementWithAstraZenecaAsAmendedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Master services agreement with Astra Zeneca as amended.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MasterServicesAgreementWithAstraZenecaAsAmendedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Master Services Agreement With Astra Zeneca As Amended [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MasterServicesAgreementWithAstraZenecaAsAmendedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Master Services Agreement With Astra Zeneca As Amended [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherCurrentLiabilitiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Current Liabilities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DurationBeforeWhichSharesMayBeConvertedFromOneClassToAnother_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Duration before which shares may be converted from one class to another.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DurationBeforeWhichSharesMayBeConvertedFromOneClassToAnother_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Duration Before Which Shares May Be Converted From One Class To Another</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DurationBeforeWhichSharesMayBeConvertedFromOneClassToAnother_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Duration before which shares may be converted from one class to another</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerDurationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Duration [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AggregateTradingPeriodForDeterminingTheSpecialPricePayableToTheHoldersOfTemporaryEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Aggregate trading period for determining the special price payable to the holders of temporary equity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AggregateTradingPeriodForDeterminingTheSpecialPricePayableToTheHoldersOfTemporaryEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Aggregate Trading Period for Determining The Special Price Payable to The Holders of Temporary Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AggregateTradingPeriodForDeterminingTheSpecialPricePayableToTheHoldersOfTemporaryEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate trading period for determining special price payable to the holders of temporary equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Paid-In Capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital, Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicenseFeesToBeReceivedFromCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Data license fees to be received from counterparty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicenseFeesToBeReceivedFromCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Data License Fees to be Received from Counterparty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicenseFeesToBeReceivedFromCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Data license fees to be received from counterparty.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Net (loss) income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ConvertibleSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ConvertibleSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Convertible senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ConvertibleSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Shares Issued in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share based compensation by share based award number of shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and Development [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionsProFormaRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionsProFormaRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition, Pro Forma Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_NameOfMajorCustomerDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LaborAndRelatedExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Labor and Related Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LaborAndRelatedExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Selling, general and administrative payroll</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Component [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PathosMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pathos.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PathosMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pathos [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PathosMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pathos [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CumulativeUndeclaredDividendsAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cumulative undeclared dividends adjustment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CumulativeUndeclaredDividendsAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cumulative undeclared dividends adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalBalanceSheetDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Balance Sheet Disclosures [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalBalanceSheetDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Balance Sheet Components</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Interest expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_StockIssuedDuringPeriodNumberOfSharesSubjectToLockInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock issued during period number of shares subject to lock in period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_StockIssuedDuringPeriodNumberOfSharesSubjectToLockInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock issued during period number of shares subject to lock in period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_StockIssuedDuringPeriodNumberOfSharesSubjectToLockInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Number Of Shares Subject To Lock In Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesGMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series g.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesGMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series G [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesGMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series G [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Nonoperating Income (Expense)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Other income (expense), net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Treasury Stock, Common [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Treasury Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Treasury Stock, Common [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash, Cash Equivalents and Restricted Cash are Comprised of:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MinimumLiquidityRequiredToBeMaintainedValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Minimum liquidity required to be maintained value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MinimumLiquidityRequiredToBeMaintainedValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum Liquidity Required To Be Maintained Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MinimumLiquidityRequiredToBeMaintainedValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum liquidity required to be maintained value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EscrowDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Escrow Deposit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EscrowDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash consideration held in escrow account</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentUnamortizedDiscount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Unamortized Discount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentUnamortizedDiscount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long term debt unamortized discount gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForDoubtfulAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, Credit Loss Expense (Reversal)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForDoubtfulAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for bad debt expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermOfAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term of agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermOfAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Of Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermOfAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term of agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermLoansPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Payable, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermLoansPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-term debt, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GenomicMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Genomic.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GenomicMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Genomic [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GenomicMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Genomics [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinitelivedIntangibleAssetsAcquired1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets Acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinitelivedIntangibleAssetsAcquired1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additions to finite lived intangible assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesB1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series b1.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesB1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series B1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesB1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series B-1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DevelopedTechnologyBiotechMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Developed Technology Biotech [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DevelopedTechnologyBiotechMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Developed technology - biotech.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DevelopedTechnologyBiotechMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Developed Technology - Biotech [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Deep6AcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deep 6 Acquisition [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Deep6AcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deep 6 Acquisition [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Deep6AcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deep 6 acquisition member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expense and Other Assets, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid expenses and other current assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Redeemable Convertible Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of Series G-5 Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds from redeemable convertible preferred stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MpirikMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mpirik [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PersonalisIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Personalis Inc [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PersonalisIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Personalis Inc Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PersonalisIncMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Personalis Inc [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RyanFukushimaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ryan Fukushima.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RyanFukushimaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ryan Fukushima [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income (Loss), Net of Tax, Attributable to Parent</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Outstanding</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common stock shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series g 2.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series G 2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series G-2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Major Class Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentConvertiblePrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument convertible, principal amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentConvertiblePrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Convertible, Principal Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentConvertiblePrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument, convertible, principal amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContingentConsiderationByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Consideration by Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure in tabular form of warrant contract asset as per balance sheet classification.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disclosure In Tabular Form Of Warrant Contract Asset As Per Balance Sheet Classification [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_WeightedAverageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InterestPayableNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest payable non current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InterestPayableNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Payable Non Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InterestPayableNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Restricted Stock Unit, Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of the activity related to the Company's RSUs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ExecutiveVicePresidentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Andrew Polovin [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ExecutiveVicePresidentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Executive Vice President [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InvestmentInSbTempusPursuantToJointVentureAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Investment in SB Tempus pursuant to joint venture agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InvestmentInSbTempusPursuantToJointVentureAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment In SB Tempus Pursuant To Joint Venture Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InvestmentInSbTempusPursuantToJointVentureAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment in SB Tempus Pursuant to Joint Venture Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Interactive Data Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAcquiredFromAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Acquired from Acquisition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAcquiredFromAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash acquired in a business combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseExpirationDate1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease Expiration Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseExpirationDate1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease agreement ending date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition, Equity Interest Issued or Issuable, Number of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business acquisition equity interests issued or issuable number of shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MarketableEquitySecuritiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Marketable equity securities fair value disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MarketableEquitySecuritiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Marketable Equity Securities Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MarketableEquitySecuritiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Marketable equity securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SharesIssuableContingentlyToDeep6KMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issuable Contingently to Deep 6 k [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SharesIssuableContingentlyToDeep6KMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Shares Issuable Contingently to Deep 6 k [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SharesIssuableContingentlyToDeep6KMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deep 6 holdback liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRedemptionPricePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redemption price, percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRedemptionPricePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Redemption Price, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Quarterly Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_HealthCareOrganizationRevenueSourcesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Health Care Organization, Revenue Sources [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketableSecuritiesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Marketable Securities [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketableSecuritiesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Portion of Unrealized Gains and Losses Relate to Marketable Equity Securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash, cash equivalents and restricted cash, end of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash, cash equivalents and restricted cash, beginning of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total cash, cash equivalents and restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Parties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BalanceSheetLocationAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Balance Sheet Location [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Expected Amortization, Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEquityMethodInvestmentsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PriorDecember312024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prior December 31 2024 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PriorDecember312024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Prior December 312024 Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PriorDecember312024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prior December312024 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FirstPaymentRelatedToCloudComputeCostsAndPortionOfCostsIncurredThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/label">First payment related to cloud compute costs and portion of costs incurred thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FirstPaymentRelatedToCloudComputeCostsAndPortionOfCostsIncurredThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">First payment related to cloud compute costs and portion of costs incurred thereafter.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfGoodsAndServicesSold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of Goods and Services Sold</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfGoodsAndServicesSold_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cost of Goods and Services Sold, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease cost</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetLessCurrentPortion_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant contract asset, less current portion.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetLessCurrentPortion_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Contract Asset, Less Current Portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetLessCurrentPortion_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant contract asset, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party, Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total lease costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease, Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevenueFromTheAdditionalArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue from the additional arrangement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevenueFromTheAdditionalArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue From The Additional Arrangement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevenueFromTheAdditionalArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue from the additional arrangement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Maturity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Future Payments Under Operating Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG-3PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series G3 Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG-3PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series G-3 Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Businesses, Net of Cash Acquired</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccruedExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Accrued expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccruedExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination, recognized identifiable assets acquired and liabilities assumed, current liabilities, accrued expenses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccruedExpenses_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accrued expenses</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share based compensation by share based award unrecognized compensation remaining period for recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Obligation, to be Paid, Remainder of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationFutureMinimumPaymentsRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">7/1/2025 - 12/31/2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfWarrantsOrRightsIssuedDuringThePeriodValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrants or rights issued during the period value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfWarrantsOrRightsIssuedDuringThePeriodValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class Of Warrants Or Rights Issued During The Period Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfWarrantsOrRightsIssuedDuringThePeriodValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class of warrants or rights issued during the period value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationDueInNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Obligation, to be Paid, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationDueInNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effect of Exchange Rate on Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Continuing Operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effect of foreign exchange rates on cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accretion Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccretionExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum accretion expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleThresholdConsecutiveTradingDays1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Convertible, Threshold Consecutive Trading Days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleThresholdConsecutiveTradingDays1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument convertible threshold period of consecutive trading days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleThresholdConsecutiveTradingDays1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Threshold consecutive trading days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementLocationAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement Location [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RedeemableNoncontrollingInterestEquityPreferredCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redeemable Noncontrolling Interest, Equity, Preferred, Carrying Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RedeemableNoncontrollingInterestEquityPreferredCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RedeemableNoncontrollingInterestEquityPreferredCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible redeemable preferred stock, $0.0001 par value, 20,000,000 shares authorized at June 30, 2025 and December 31, 2024, respectively, no shares issued and outstanding at June 30, 2025 and December 31, 2024; aggregate liquidation preference of $0 at June 30, 2025 and December 31, 2024, respectively</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BaseCashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Base cash consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BaseCashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Base Cash Consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BaseCashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Base cash consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Long-Term Debt Instruments [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquitySpecialPaymentAsAPercentageOfOriginalIssuePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Temporary equity special payment as a percentage of original issue price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquitySpecialPaymentAsAPercentageOfOriginalIssuePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity Special Payment As A Percentage Of Original Issue Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquitySpecialPaymentAsAPercentageOfOriginalIssuePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Temporary equity special payment as a percentage of original issue price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, City or Town</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">AOCI Attributable to Parent [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated&#160;Other Comprehensive (Loss) Income [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Equity Method Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Losses from equity method investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loss from equity-method investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_JenniferADoudnaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Jennifer A Doudna [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_JenniferADoudnaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Jennifer A Doudna.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_JenniferADoudnaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Jennifer A. Doudna [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Seriesg4preferredstockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SeriesG4PreferredStock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Seriesg4preferredstockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series G-4 Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfCustomers_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of customers</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfCustomers_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of customers</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfCustomers_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of customers.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Fair Value Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ThirdPartyPayorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Third-Party Payor [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseDecreaseInInvestmentsAndOtherCurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in investments and other current assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseDecreaseInInvestmentsAndOtherCurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Investments And Other Current Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseDecreaseInInvestmentsAndOtherCurrentAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Investments and other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Maturity Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long term debt maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainDueChangeFairValueOfWarrantLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Company recognized gain due change fair value of warrant liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainDueChangeFairValueOfWarrantLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Company Recognized Gain Due Change Fair Value Of Warrant Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainDueChangeFairValueOfWarrantLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company recognized gain due change fair value of warrant liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_LeaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_LeaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Lease agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFaceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Face Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFaceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument face value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CallOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Call Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CallOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Call Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TaxesRelatedToNetShareSettlementOfRestrictedStockUnitsNotYetPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Taxes related to net share settlement of restricted stock units not yet paid.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TaxesRelatedToNetShareSettlementOfRestrictedStockUnitsNotYetPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Taxes Related To Net Share Settlement Of Restricted Stock Units Not Yet Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TaxesRelatedToNetShareSettlementOfRestrictedStockUnitsNotYetPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Taxes related to net share settlement of restricted stock units not yet paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PathosMasterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pathos Master Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PathosMasterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pathos master agreement member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PathosMasterAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pathos Master Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_OneYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">One Year [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredChargesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Charges, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredChargesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred Offering Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentInDeferredOtherIncomeAmortizedInToOtherIncomeExpensePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment in deferred other income amortized in to other income expense period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentInDeferredOtherIncomeAmortizedInToOtherIncomeExpensePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment in Deferred Other Income Amortized In To Other Income Expense Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentInDeferredOtherIncomeAmortizedInToOtherIncomeExpensePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payment in deferred other income amortized in to other income expense period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_StockIssuedDuringThePeriodSharesTowardsWorkingCapitalAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock issued during the period shares towards working capital adjustment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_StockIssuedDuringThePeriodSharesTowardsWorkingCapitalAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During The Period Shares Towards Working Capital Adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_StockIssuedDuringThePeriodSharesTowardsWorkingCapitalAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock issued during the period shares towards working capital adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonvotingCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonvoting Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonvotingCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-voting Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CommitmentOfTheCounterpartyIfTheWarrantsAreExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Commitment of the counterparty if the warrants are exercised.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CommitmentOfTheCounterpartyIfTheWarrantsAreExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitment Of The Counterparty If The Warrants Are Exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CommitmentOfTheCounterpartyIfTheWarrantsAreExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Commitment of the counterparty if warrants are exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleTermsOfConversionFeature_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Convertible, Terms of Conversion Feature</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleTermsOfConversionFeature_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Terms of conversion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SpecialPricePaidInCash_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Special price paid in cash.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SpecialPricePaidInCash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Special price paid in cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share based compensation by share based award number of shares authorized for issue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating leases, weighted-average discount rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Weighted Average Discount Rate, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SecuritiesPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Securities purchase agreement.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInvestmentsAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investments and other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInvestmentsAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Investments And Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInvestmentsAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed investments and other assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SengineMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sengine</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SengineMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sengine [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total property and equipment, gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CostOfRevenueGenomicsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of Revenue Genomics [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedTermMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Expected Term [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExpectedTermMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected term (in years) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainLossDueChangeFairAlueOfContingentConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company recognized loss due change fair value of contingent consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainLossDueChangeFairAlueOfContingentConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Company Recognized Gain (Loss) due Change Fair alue of Contingent Consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainLossDueChangeFairAlueOfContingentConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Company recognized gain (loss) due change fair value of contingent consideration.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TrialsProductMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trials Product [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentPaidInKindInterestPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument paid in kind interest percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentPaidInKindInterestPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Paid In Kind Interest Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentPaidInKindInterestPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instument PIK interest percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReclassificationsOfTemporaryToPermanentEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reclassifications of Temporary to Permanent Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReclassificationsOfTemporaryToPermanentEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of redeemable convertible preferred stock to common stock in connection with initial public offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TwoThousandAndFifteenStockOptionPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand And Fifteen Stock Option Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TwoThousandAndFifteenStockOptionPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2015 Stock Option Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NatureOfOperationsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Nature of operations [Line items].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NatureOfOperationsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nature Of Operations [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition, Share Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class A common stock, closing price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityByClassOfStockTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, by Class of Stock [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Exercise Price of Warrants or Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class of Warrant or Right, Exercise Price of Warrants or Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Class of warrants or rights exercise price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instruments [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Consideration Transferred, Equity Interests Issued and Issuable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business combination consideration transferred equity interests issued and issuable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SalesAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sales Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SalesAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sales agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RelatedPartyPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Payable Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RelatedPartyPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Related party payable current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RelatedPartyPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related party payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsidiarySaleOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Investing Activities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicensingAndCloudComputingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Data Licensing And Cloud Computing Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicensingAndCloudComputingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Data licensing and cloud computing expenses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicensingAndCloudComputingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Data licensing and cloud computing expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRepurchaseOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for Repurchase of Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRepurchaseOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock purchase price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfGoodsAndServicesSoldDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost, Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfGoodsAndServicesSoldDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost of revenue, genomics</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasicLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantLiabilityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant liability fair value disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantLiabilityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Liability Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantLiabilityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term loan facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term Loan Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ShareholdingBelowWhichTriggerIsCausedForConversionOfStockFromOneClassToAnother_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Shareholding below which trigger is caused for conversion of stock from one class to another.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ShareholdingBelowWhichTriggerIsCausedForConversionOfStockFromOneClassToAnother_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shareholding Below Which Trigger Is Caused For Conversion Of Stock From One Class To Another</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ShareholdingBelowWhichTriggerIsCausedForConversionOfStockFromOneClassToAnother_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Share holding below which trigger is caused for conversion of stock from one class to another</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseDecreaseInAccruedDataLicensingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in accrued data licensing fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseDecreaseInAccruedDataLicensingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Accrued Data Licensing Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseDecreaseInAccruedDataLicensingFees_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accrued data licensing fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue from contract with customers excluding assessed tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total net revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ZeroPointSevenFivePercentageConvertibleSeniorNotesDue2030Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Zero Point Seven Five Percentage Convertible Senior Notes due 2030 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ZeroPointSevenFivePercentageConvertibleSeniorNotesDue2030Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Zero point seven five percentage convertible senior notes due 2030.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ZeroPointSevenFivePercentageConvertibleSeniorNotesDue2030Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">0.75% Convertible Senior Notes due 2030 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetCurrentAndNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant contract asset current and non current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetCurrentAndNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Contract Asset Current And Non Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetCurrentAndNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total warrant contract asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_OptionIndexedToIssuersEquityInitialCapPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial cap price</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_OptionIndexedToIssuersEquityInitialCapPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Option indexed to issuer's equity, initial cap price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubscriptionArrangementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subscription Arrangement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling, General and Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Selling, general and administrative</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Selling, general and administrative</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockRepurchasedDuringPeriodValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Repurchased During Period, Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockRepurchasedDuringPeriodValue_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repurchase of Non-voting Common Stock</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SpecialPricePaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Special price paid.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SpecialPricePaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Special price paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ConvertiblePromissoryNotePrincipalResetDueToAmendment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible promissory note principal reset due to amendment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ConvertiblePromissoryNotePrincipalResetDueToAmendment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Promissory Note Principal Reset Due to Amendment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ConvertiblePromissoryNotePrincipalResetDueToAmendment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Convertible promissory note principal reset due to amendment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Finite-Lived Intangible Assets, Net, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TradeNamesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trade Names [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TradeNamesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trade Names [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFrequencyOfPeriodicPayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Frequency of Periodic Payment</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationContingentConsiderationPayableInCashAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination contingent consideration payable in cash at fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationContingentConsiderationPayableInCashAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Contingent Consideration Payable In Cash At Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationContingentConsiderationPayableInCashAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business combination contingent consideration payable in cash at fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Accrued Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PeriodAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PeriodAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Period [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities, Convertible redeemable preferred stock, and Stockholders' equity (deficit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series g 3.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series G 3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series G-3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmendmentToConvertiblePromissoryNoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment to Convertible Promissory Note [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmendmentToConvertiblePromissoryNoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amendment to convertible promissory note.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmendmentToConvertiblePromissoryNoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amendment to Convertible Promissory Note [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PercentageOfCurrentOutstandingEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of current outstanding equity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PercentageOfCurrentOutstandingEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Current Outstanding Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PercentageOfCurrentOutstandingEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of current outstanding equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Financing Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash provided by financing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesGFourRedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series g four redeemable convertible preferred stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesGFourRedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series G Four Redeemable Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesGFourRedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series G-4 Redeemable Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfDaysForDeterminingConversionOfStockFromOneClassToAnother_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of trading days for determining conversion of stock from one class to another.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfDaysForDeterminingConversionOfStockFromOneClassToAnother_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Days For Determining Conversion Of Stock From One Class To Another</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfDaysForDeterminingConversionOfStockFromOneClassToAnother_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of days for determining conversion of stock from class to another</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Class A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Class A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Class A Voting Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity Note [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfHeldBackSharesInConnectionWithBusinessAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of held back shares in connection with business acquisition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfHeldBackSharesInConnectionWithBusinessAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Held Back Shares in Connection With Business Acquisition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfHeldBackSharesInConnectionWithBusinessAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of held back shares in connection with business acquisition.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleThresholdTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Convertible, Threshold Trading Days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleThresholdTradingDays_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Threshold trading days</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExpirationDateSeptemberSixTwentyTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Expiration Date September Six Twenty Twenty Five [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExpirationDateSeptemberSixTwentyTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Expiration date september six twenty twenty five.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExpirationDateSeptemberSixTwentyTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expiration Date September 6, 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total potentially dilutive shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanFacilityAmountReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term loan facility amount received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanFacilityAmountReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan Facility Amount Received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanFacilityAmountReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term loan facility amount received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationDueInThirdYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Obligation, to be Paid, Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationDueInThirdYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">APIC, Share-Based Payment Arrangement, Increase for Cost Recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Class B [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Class B [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonClassBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Class B Voting Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment, Ownership Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity method investment ownership percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total accrued expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, after Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MaximumPercentageOfNotesConvertibleToSharesUponMaturityAtCompanyOption_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum Percentage Of Notes Convertible To Shares Upon Maturity At Company Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MaximumPercentageOfNotesConvertibleToSharesUponMaturityAtCompanyOption_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Maximum percentage of notes convertible to shares upon maturity at company option.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MaximumPercentageOfNotesConvertibleToSharesUponMaturityAtCompanyOption_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Maximum percentage of notes convertible to shares upon maturity at Company's option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Income Tax Expense (Benefit), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Tax benefit from release of a portion of valuation allowance attributable to estimated deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Benefit from (provision for) income taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">(Provision for) benefit from income taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income tax expense (benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmountReceiveFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount receive from related party.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmountReceiveFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amount Receive From Related Party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmountReceiveFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amount receive from related party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MachineryAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Machinery and Equipment, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MachineryAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trading Symbol</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AgreementTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Agreement Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AgreementTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Agreement Type Axis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combinations [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Stockholders' equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of fair value assets and liabilities measured on recurring basis line item.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Fair Value Assets And Liabilities Measured On Recurring Basis [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BuildingsAndImprovementsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Buildings and Improvements, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BuildingsAndImprovementsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Building</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ImpairmentOfIntangibleAssetsFinitelived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Impairment of Intangible Assets, Finite-Lived</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ImpairmentOfIntangibleAssetsFinitelived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Impairment of intangible assets, finite-lived</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GenomicsProductMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Genomics Product [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_GenomicsProductMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Genomics Product Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Liabilities, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other long-term liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionPrice1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Convertible, Conversion Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionPrice1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireBusinessesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Businesses, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireBusinessesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments to acquire businesses, gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireBusinessesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Cash consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock Units (RSUs) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unvested RSUs [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DepreciationOnCostOfRevenueDataAndServices_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation on Cost of Revenue Data and Services</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DepreciationOnCostOfRevenueDataAndServices_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Depreciation on cost of revenue, data and services.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DepreciationOnCostOfRevenueDataAndServices_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost of revenue, data and services</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Temporary equity shares authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable lease cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Lease, Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtPercentageBearingVariableInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Percentage Bearing Variable Interest, Percentage Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtPercentageBearingVariableInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long term debt variable interest rate percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Goodwill, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Goodwill, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Goodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Goodwill, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OptionIndexedToIssuersEquityTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Option Indexed to Issuer's Equity, Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Issuances</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of liabilities measured using significant unobservable input issues during the period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquitySecuritiesFvNiGainLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Securities, FV-NI, Gain (Loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquitySecuritiesFvNiGainLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net loss (gain) during the period on marketable equity securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquitySecuritiesFvNiGainLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Net (gain) loss during the period on marketable equity securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquitySecuritiesFvNiGainLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Gain on marketable equity securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Stock-based Compensation Expense Recorded in Consolidated Statements of Operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NatureOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nature of Operations [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NatureOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Description of Business</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share based compensation by share based payment award expiration date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred income taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Income Tax Expense (Benefit), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CumulativeAmountPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cumulative amount paid.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CumulativeAmountPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cumulative Amount Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CumulativeAmountPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cumulative amount paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationConsiderationInTheFormOfSharesHeldBackValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination consideration in the form of shares held back value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationConsiderationInTheFormOfSharesHeldBackValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Consideration In The Form Of Shares Held Back Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationConsiderationInTheFormOfSharesHeldBackValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business combination consideration in the form of shares held back</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeasesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leases [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash consideration.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CashConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Asset, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeAssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Use of Estimates, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Use of Estimates</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RestrictedStockUnitsAwardsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock Units Awards [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RestrictedStockUnitsAwardsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Restricted stock unit awards.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RestrictedStockUnitsAwardsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Stock Units Awards (RSAs) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Assets, Noncurrent, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related party asset, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskPercentage1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration risk, percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskPercentage1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReductionInGrossValueOfIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reduction in gross value of intangible assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReductionInGrossValueOfIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reduction In Gross Value Of Intangible Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReductionInGrossValueOfIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduction in gross value of intangible assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReductionInAccumulatedAmortizationOnFiniteLivedIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reduction in accumulated amortization on finite lived intangible assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReductionInAccumulatedAmortizationOnFiniteLivedIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reduction In Accumulated Amortization On Finite Lived Intangible Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReductionInAccumulatedAmortizationOnFiniteLivedIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduction in accumulated amortization of finite lived intangible assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputPriceVolatilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Price Volatility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputPriceVolatilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected volatility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Operating Lease Liability Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed operating lease liability current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Operating lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Business Acquisitions, by Acquisition [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SengineHoldbackLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sengine Holdback Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SengineHoldbackLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SEngine holdback liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementScenarioAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DevelopedBiotechnologyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Developed Biotechnology [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DevelopedBiotechnologyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Developed biotechnology.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DevelopedBiotechnologyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Developed Biotechnology [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DevelopedBiotechnologyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Developed Technology - Biotech [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SpecialPricePayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Special price payable current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SpecialPricePayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Special Price Payable Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SpecialPricePayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Special price payable current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DividendIncurredButNotPaidDuringThePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Dividend incurred but not paid during the period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DividendIncurredButNotPaidDuringThePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividend Incurred But Not Paid During The Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DividendIncurredButNotPaidDuringThePeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Security Exchange Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_LineOfCreditIncreasedInterestRateFacility_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Line Of Credit Increased Interest Rate Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_LineOfCreditIncreasedInterestRateFacility_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line Of Credit Increased Interest Rate Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Deep6Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deep 6 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Deep6Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deep 6.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Deep6Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deep 6 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AgreementDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AgreementDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Agreement [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RepurchaseAgreementCounterpartyNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_VotingCommonStockIssuedInConnectionWithBusinessCombinations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Voting Common Stock Issued In Connection With Business Combinations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_VotingCommonStockIssuedInConnectionWithBusinessCombinations_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Voting common stock issued in connection with business combinations.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputRiskFreeInterestRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Risk Free Interest Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputRiskFreeInterestRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk-free interest rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDebtExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Debt Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDebtExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: accumulated depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurements and Marketable Equity Securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FurnitureAndFixturesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Furniture and Fixtures, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FurnitureAndFixturesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Furniture and fixtures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentArrangementContractToPerformForOthersTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Arrangement, Contract to Perform for Others, Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Maximum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfRevenueRelatedPartyTypeExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of Revenue, Related Party [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant issued.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrant issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Liabilities, Convertible redeemable preferred stock, and Stockholders' equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncomeFromLicenseAgreementRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income from License Agreement Recognized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncomeFromLicenseAgreementRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Income from license agreement recognized.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncomeFromLicenseAgreementRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income from license agreement recognized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsGrossExcludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Assets, Gross (Excluding Goodwill), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsGrossExcludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on debt extinguishment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Extinguishment of Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Gain (Loss) on Extinguishment of Debt, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Right-of-Use Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease right-of-use assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisGainLossIncludedInEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gain or loss due to change in fair value for assets and liabilities measured at fair value using significant unobservable inputs (Level 3)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisGainLossIncludedInEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets and Liabilities Measured on Recurring Basis, Gain (Loss) Included in Earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisGainLossIncludedInEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Fair Value, Assets and Liabilities Measured on Recurring Basis, Gain (Loss) Included in Earnings, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Cash Flow Information [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental disclosure of cash flow information</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure in tabular form of warrant contract asset as per balance sheet classification.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disclosure In Tabular Form Of Warrant Contract Asset As Per Balance Sheet Classification [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Warrant Contract Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss per share attributable to common stockholders, diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss per share attributable to common shareholders, diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities assumed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityExTransitionPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Ex Transition Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Dividends_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Dividends_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Dividends, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Dividends_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Dividends_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, after Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Accounts Receivable, after Allowance for Credit Loss, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmendmentAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmendmentAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amendment agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Data License Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Data License Agreement Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related party asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Investing Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash (used in) provided by investing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CapitalizedSoftwareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capitalized Software [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CapitalizedSoftwareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Capitalized software.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CapitalizedSoftwareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capitalized Software [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AllenAndCompanyLlcMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Allen and company LLC.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AllenAndCompanyLlcMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Allen and Company LLC [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AllenAndCompanyLlcMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Allen and Company LLC [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioForecastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Forecast [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of common stock (Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock issued during period, shares, new issues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock issued during period shares new issues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfGainLossOnInvestmentsIncludingMarketableSecuritiesAndInvestmentsHeldAtCostIncomeStatementReportedAmountsSummaryLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Securities [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncentiveStockOptionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Incentive Stock Options [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment for Contingent Consideration Liability, Financing Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of indemnity holdback related to acquisition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share based compensation by share based award vesting period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Vesting period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentConvertibleThresholdPrincipalOutstandingAmountForPartialRedemption_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Convertible, Threshold Principal Outstanding Amount For Partial Redemption</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentConvertibleThresholdPrincipalOutstandingAmountForPartialRedemption_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument, convertible, threshold principal outstanding amount for partial redemption.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentConvertibleThresholdPrincipalOutstandingAmountForPartialRedemption_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Threshold principal outstanding amount for partial redemption</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmendedAndRestatedConvertiblePromissoryNoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amended And Restated Convertible Promissory Note [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingLeaseLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingLeaseLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Operating Lease Liability Non Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingLeaseLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed operating lease liability non current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingLeaseLiabilityNonCurrent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Operating lease liabilities, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionByUniqueDescriptionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Conversion Description [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanAgreementIncludingAmendmentAgreementOneAndTwoWithAresCapitalCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term loan agreement including amendment agreement one and two with ares capital corporation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanAgreementIncludingAmendmentAgreementOneAndTwoWithAresCapitalCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan Agreement Including Amendment Agreement One And Two With Ares Capital Corporation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IntellectualPropertyLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intellectual Property License Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IntellectualPropertyLicenseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Intellectual Property License Agreement Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Filer Category</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill and Intangible Assets Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Goodwill and Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainDueChangeFairValueOfWarrantAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Company recognized gain due change fair value of warrant asset.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainDueChangeFairValueOfWarrantAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Company Recognized Gain Due Change Fair Value Of Warrant Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognizedGainDueChangeFairValueOfWarrantAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company recognized gain due change fair value of warrant asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SummaryOfSignificantSegmentExpensesReconciledToTotalSellingGeneralAndAdministrativeExpensesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Significant Segment Expenses Reconciled to Total Selling, General and Administrative Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SummaryOfSignificantSegmentExpensesReconciledToTotalSellingGeneralAndAdministrativeExpensesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Significant Segment Expenses Reconciled to Total Selling, General and Administrative Expenses [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SummaryOfSignificantSegmentExpensesReconciledToTotalSellingGeneralAndAdministrativeExpensesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary of significant segment expenses reconciled to total selling, general and administrative expenses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Diluted, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss attributable to common stockholders, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss attributable to common shareholders, diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Fiscal Year End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, Undiscounted Excess Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: Amount representing interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EmergingGrowthCompanyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Emerging Growth Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EmergingGrowthCompanyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for emerging growth company.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EmergingGrowthCompanyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Emerging Growth Company [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LandAndLandImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Land and Land Improvements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LandAndLandImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Land and Land Improvements, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LandAndLandImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevolvingLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revolving Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevolvingLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revolving loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevolvingLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revolving Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Par or Stated Value Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Temporary equity par or stated value per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Noncash Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueRecognitionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Recognition [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party, Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfStock1Domain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of stock 1.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfStock1Domain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock 1 [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG4Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series g 4.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG4Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series G 4 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesG4Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series G-4 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PriorityRevolvingCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Priority ABL Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PriorityRevolvingCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Priority Revolving Commitments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PriorityRevolvingCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Priority revolving commitments.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataAndOtherMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Data And Other [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration, Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business combination contingent consideration acquisition date fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Indefinite-Lived Intangible Assets, Major Class Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesEMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series e.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesEMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series E [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesEMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series E [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataAndServicesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Data and services.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataAndServicesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Data and Services [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataAndServicesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Data and services [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScottGottliebMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scott Gottlieb [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScottGottliebMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Scott Gottlieb.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScottGottliebMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Scott Gottlieb [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Loss Per Share Attributable to Common Stockholders</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_LicensedDataMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Licensed data.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_LicensedDataMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Licensed Data [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_LicensedDataMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Licensed data [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Maturity Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Emerging Growth Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsAndJointVenturesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments and Joint Ventures [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other current liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average common shares outstanding, basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted-average shares outstanding used to compute net loss per share, basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsolidationVariableInterestEntityPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consolidation, Variable Interest Entity, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConsolidationVariableInterestEntityPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Interest Entities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VestingDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationContingentConsiderationArrangementsChangeInFairValueOfHoldbackLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of holdback liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationContingentConsiderationArrangementsChangeInFairValueOfHoldbackLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration Arrangements, Change in Fair Value of Holdback Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationContingentConsiderationArrangementsChangeInFairValueOfHoldbackLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination, contingent consideration arrangements, change in fair value of holdback liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Fiscal Year Maturity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Equity Method Investments [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Due to Related Parties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Due to Related Parties, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueToRelatedParties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related party payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration Arrangements, Change in Amount of Contingent Consideration, Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of contingent consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicByCommonClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Earnings Per Share, Basic, by Common Class, Including Two Class Method [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityStockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Stock Issued During Period, Value, New Issues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityStockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of Series Preferred Stock</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares Authorized</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common stock shares authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Shares Withheld for Tax Withholding Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Share-based payment arrangement, shares withheld for tax withholding obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Payable, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubleaseIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sublease income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubleaseIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sublease Income</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_JointVentureAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Joint venture agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_JointVentureAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Joint Venture Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Common Stock</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NonRule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non-Rule 10b5-1 Arr Modified [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NonRule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non-Rule 10b5-1 arrangement modified.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NonRule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-Rule 10b5-1 Arr Modified</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Intangible Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfIntangibleAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Amortization of intangible assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentRevolvingLoansAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument revolving loans amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentRevolvingLoansAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Revolving Loans Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentRevolvingLoansAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument revolving loans amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerSharePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Loss Per Share Attributable to Common Stockholders</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityStockIssuedDuringThePeriodSharesPaymentOfDividendInKind_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Temporary equity stock issued during the period shares payment of dividend in kind.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityStockIssuedDuringThePeriodSharesPaymentOfDividendInKind_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity Stock Issued During The Period Shares Payment Of Dividend In Kind</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityStockIssuedDuringThePeriodSharesPaymentOfDividendInKind_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Temporary equity stock issued during the period shares payment of dividend in kind</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfDaysForDeterminingOwnershipOfTheFounderBelowWhichConversionOfStockFromOneClassToAnotherIsTriggered_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of days for determining ownership of the founder below which conversion of stock from one class to another is triggered.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfDaysForDeterminingOwnershipOfTheFounderBelowWhichConversionOfStockFromOneClassToAnotherIsTriggered_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Days For Determining Ownership Of The Founder Below Which Conversion Of Stock From One Class To Another Is Triggered</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NumberOfDaysForDeterminingOwnershipOfTheFounderBelowWhichConversionOfStockFromOneClassToAnotherIsTriggered_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of days for determining ownership of the founder below which conversion of stock from one class to another is triggered</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Prepaid Expense and Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid expenses and other current assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReceivedWarrantToPurchaseShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Received warrant to purchase share.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReceivedWarrantToPurchaseShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Received Warrant To Purchase Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ReceivedWarrantToPurchaseShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Received warrant to purchase share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInterestPayableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Interest Payable, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInterestPayableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClinicalOrderMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Clinical Order [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivablesNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Receivables, Net, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivablesNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other Receivables, Net, Current, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivablesNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Related party asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillImpairmentLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill, Impairment Loss</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Treasury Stock, Common, Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryStockCommonValue_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Treasury Stock, 145,466 shares at June 30, 2025 and December 31, 2024, at cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingPoliciesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Policies [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsFutureAmortizationExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncomeTaxTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Income tax.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncomeTaxTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revolving credit facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Line of Credit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Long-Term Line of Credit, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationConsiderationInTheFormOfCashHeldBackValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination consideration in the form of cash held back value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationConsiderationInTheFormOfCashHeldBackValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Consideration In The Form Of Cash Held Back Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationConsiderationInTheFormOfCashHeldBackValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business combination cash consideration held back</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_JointVentureFormationFormationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Joint venture formation date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_JointVentureFormationFormationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Joint Venture Formation, Formation Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Attributable to Parent [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders' equity (deficit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CommercializationAndReferenceLaboratoryAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Commercialization and reference laboratory agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CommercializationAndReferenceLaboratoryAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commercialization and Reference Laboratory Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CommercializationAndReferenceLaboratoryAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commercialization And Reference Laboratory Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligationFiscalYearMaturityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Obligation, Fiscal Year Maturity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RyanBartolucciMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ryan Bartolucci.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RyanBartolucciMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ryan Bartolucci [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental disclosure of noncash investing and financing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Table]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WeightedAveragePricePerShareOfInvestmentSold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average price per share of investment sold.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WeightedAveragePricePerShareOfInvestmentSold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Price Per Share Of Investment Sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WeightedAveragePricePerShareOfInvestmentSold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average price per share of investment sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassAAndClassBCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class A And Class B Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MasterServicesAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Master Services Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MasterServicesAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Master Services Agreement member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_MasterServicesAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Master Services Agreement [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalTermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Term Loan Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AdditionalTermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional term loan facility.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity File Number</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerAssetNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Asset, after Allowance for Credit Loss, Current</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmbryGeneticsCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ambry [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmbryGeneticsCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ambry Genetics Corporation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmbryGeneticsCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ambry Genetics Corporation Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfStock1Axis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of stock 1.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfStock1Axis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock 1 [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related party transaction due from to related party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Due from related parties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfFinancialPositionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Financial Position [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccruedLicensingDataFeesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued licensing data fees current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccruedLicensingDataFeesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Licensing Data Fees Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccruedLicensingDataFeesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued data licensing fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IPOMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">IPO [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IPOMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">IPO [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WayneAFrederickMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Wayne A Frederick [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WayneAFrederickMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Wayne A Frederick.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WayneAFrederickMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Wayne A.I. Frederick [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Income (Loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Loss from operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExerciseOfWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Exercise of warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExerciseOfWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exercise of Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ExerciseOfWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Exercise of Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issued, Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssuedPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares issued, price per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLicenseFeesReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from License Fees Received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLicenseFeesReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from license fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognisedExpensesDueChangeFairValueOfWarrantLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Company recognised expenses due change fair value of warrant liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognisedExpensesDueChangeFairValueOfWarrantLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Company Recognised Expenses Due Change Fair Value Of Warrant Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CompanyRecognisedExpensesDueChangeFairValueOfWarrantLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company recognised expenses due change fair value of warrant liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanAmendmentAgreementTwoWithAresCapitalCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term loan amendment agreement two with ares capital corporation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermLoanAmendmentAgreementTwoWithAresCapitalCorporationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan Amendment Agreement Two With Ares Capital Corporation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Shell Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmbryAcquisitionAndDeepSixAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ambry Acquisition And Deep Six Acquisition [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmbryAcquisitionAndDeepSixAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ambry Acquisition and Deep Six Acquisition.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmbryAcquisitionAndDeepSixAcquisitionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ambry Acquisition And Deep Six Acquisition [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PurchaseObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total purchase obligations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of the Assumption Used in the Model Table</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement Inputs and Valuation Techniques [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Tax Identification Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PeriodDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PeriodDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Period [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Current Reporting Status</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss attributable to common stockholders, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net loss attributable to common shareholders, basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccountsPayableAndAccruedLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Accounts Payable and Accrued Liabilities [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccountsPayableAndAccruedLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Accrued Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInContractWithCustomerLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Contract with Customer, Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInContractWithCustomerLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInContractWithCustomerLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Increase in related party deferred revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total assets acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Year Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermPurchaseCommitmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Purchase Commitment [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermPurchaseCommitmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Long-term Purchase Commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CurrentPortionOfPurchaseObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Portion Of Purchase Obligations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CurrentPortionOfPurchaseObligations_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Current portion of purchase obligations.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CurrentPortionOfPurchaseObligations_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: Current portion of purchase obligations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PercentageOfDataLicenseFeesOwed_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Data License Fees Owed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PercentageOfDataLicenseFeesOwed_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of data license fees owed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PercentageOfDataLicenseFeesOwed_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of data license fees owed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassAVotingCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class a voting common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassAVotingCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class A Voting Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Inventory</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of fair value assets and liabilities measured on recurring basis table.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Fair Value Assets And Liabilities Measured On Recurring Basis [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherSellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Selling, General and Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherSellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other selling, general and administrative</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Rule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Rule 10b5-1 Arr Modified [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Rule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Rule 10b5-1 arrangement modified.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Rule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rule 10b5-1 Arr Modified</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CapitalExpendituresIncurredButNotYetPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capital Expenditures Incurred but Not yet Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CapitalExpendituresIncurredButNotYetPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchases of property and equipment, accrued but not paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Accumulated Amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Accumulated Amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance Initial Public Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of common stock in connection with initial public offering, net of underwriting discounts and commissions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">City Area Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants and Rights Outstanding, Measurement Input</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PriorPeriodReclassificationAdjustmentDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reclassification</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PriorPeriodReclassificationAdjustmentDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reclassification, Comparability Adjustment [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ThirdAmendmentAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Third Amendment Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ThirdAmendmentAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Third amendment agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ThirdAmendmentAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Third Amendment Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionPurchasePriceAllocationGoodwillExpectedTaxDeductibleAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition, Goodwill, Expected Tax Deductible Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionPurchasePriceAllocationGoodwillExpectedTaxDeductibleAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Goodwill, expected to be deductible for tax purposes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ErikPhelpsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Erik Phelps.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ErikPhelpsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Erik Phelps [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromDebtNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Debt, Net of Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromDebtNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from long-term debt, net of original issue discount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromDebtNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds from long term debt net of issuance costs and discount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmortizationOfWarrantContractAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of warrant contract asset.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmortizationOfWarrantContractAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of warrant contract asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmortizationOfWarrantContractAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of warrant contract asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FiniteAndIndefinitelyLivedIntangibleAssetsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Finite and indefinitely lived intangible assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FiniteAndIndefinitelyLivedIntangibleAssetsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite And Indefinitely Lived Intangible Assets [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfWarrantsValueOfSharesCoveredByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrants value of shares covered by warrants or rights.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfWarrantsValueOfSharesCoveredByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class Of Warrants Value Of Shares Covered By Warrants Or Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfWarrantsValueOfSharesCoveredByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Class of warrants value of shares covered by warrants or rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireSoftware_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Software</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireSoftware_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of capitalized software</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermSecuredOvernightFinancingRateOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term secured overnight financing rate one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TermSecuredOvernightFinancingRateOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Secured Overnight Financing Rate One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization, Consolidation and Presentation of Financial Statements [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Local Phone Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leasehold Improvements, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leasehold improvements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetLessCurrentPortionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant contract asset less current portion.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetLessCurrentPortionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Contract Asset Less Current Portion [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetLessCurrentPortionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant Contract Asset Less Current Portion [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherPreferredStockDividendsAndAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Preferred Stock Dividends and Adjustments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherPreferredStockDividendsAndAdjustments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Cumulative undeclared dividends on Series C preferred shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherPreferredStockDividendsAndAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cumulative undeclared dividends on Series C preferred shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net intangible assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant contract asset non current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Contract Asset Non Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_WarrantContractAssetNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant contract asset, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ProceedsFromRevolvingCreditFacilityNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from revolving credit facility, net of original issue discount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ProceedsFromRevolvingCreditFacilityNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Revolving Credit Facility Net of Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ProceedsFromRevolvingCreditFacilityNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from revolving credit facility net of issuance costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate, Increase (Decrease)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument interest rate, increase percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityConvertedIntoPermanentEquityShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Temporary equity converted into permanent equity shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityConvertedIntoPermanentEquityShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity Converted Into Permanent Equity Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityConvertedIntoPermanentEquityShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of redeemable convertible preferred stock to common stock in connection with initial public offering (Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityConvertedIntoPermanentEquityShares_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Temporary equity converted into permanent equity shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FederalFundsEffectiveSwapRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fed Funds Effective Rate Overnight Index Swap Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByBalanceSheetGroupingTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, by Balance Sheet Grouping [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RedeemablePreferredStockDiscountRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Redeemable preferred stock discount rate percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RedeemablePreferredStockDiscountRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redeemable Preferred Stock Discount Rate Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RedeemablePreferredStockDiscountRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redeemable preferred stock discount rate percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Issuance Costs, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long term debt unamortized debt issuance costs net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DeidendifiedDataThroughAdditionalAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deidendified data through additional agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DeidendifiedDataThroughAdditionalAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">DeIdendified Data Through Additional Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RecentlyIssuedAccountingPronouncementsNotYetAdoptedPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Recently issued accounting pronouncements not yet adopted.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RecentlyIssuedAccountingPronouncementsNotYetAdoptedPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recently Issued Accounting Pronouncements Not Yet Adopted [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RecentlyIssuedAccountingPronouncementsNotYetAdoptedPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recently Issued Accounting Pronouncements Not Yet Adopted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Less: Current portion of lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueFromRelatedPartiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related party asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueFromRelatedPartiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Due from Related Parties, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueFromRelatedPartiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Due from Related Parties, Current, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDueFromRelatedPartiesCurrent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Related party asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationNonproduction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation, Nonproduction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationNonproduction_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Selling, general and administrative costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermContractWithCustomerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Contract with Customer [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, Net of Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign currency translation adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Foreign currency translation adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevenueFromSubscriptionFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue from subscription fee.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevenueFromSubscriptionFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue From Subscription Fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RevenueFromSubscriptionFee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue from subscription fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PurchaseObligationToBePaidYearFiveAndThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase Obligation, To Be Paid, Year Five And Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PurchaseObligationToBePaidYearFiveAndThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Purchase obligation, to be paid, year five and thereafter.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PurchaseObligationToBePaidYearFiveAndThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030 and thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate, Stated Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated Deficit [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling, General and Administrative Expense [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expenses and Other Current Assets [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid Expenses and Other Current Assets [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Property, Plant, and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of property and equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Transition Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentDateOfFirstRequiredPayment1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Date of First Required Payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentDateOfFirstRequiredPayment1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument, date of first required payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SelfPayMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Self-Pay [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk, Credit Risk, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration of Credit Risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Expected Amortization, Remainder of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">7/1/2025 - 12/31/2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Minimum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareReconciliationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share Reconciliation [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareReconciliationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Numerator:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InvestmentInRecursionPharmaceuticalsClassACommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Investment in recursion pharmaceuticals class a common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_InvestmentInRecursionPharmaceuticalsClassACommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment In Recursion Pharmaceuticals Class A Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Name [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Right-of-Use Asset, Periodic Reduction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash&#160;operating lease costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityAccretionOfDividends_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Accretion of Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityAccretionOfDividends_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccountingPoliciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accounting policies.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccountingPoliciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Policies [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Accounts Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accounts payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PrincipalAmountToBePayableAfterPrepayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Principal amount to be payable after prepayment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PrincipalAmountToBePayableAfterPrepayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Principal Amount To Be Payable After Prepayment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PrincipalAmountToBePayableAfterPrepayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal amount to be payable after prepayment value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingRight-Of-UseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease right-of-use assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingRight-Of-UseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Operating Right-of-use Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOperatingRight-Of-UseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed operating right-of-use assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContractPerformanceObligationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract Performance Obligation [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementLocationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement Location [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccruedCloudStorageCostsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued cloud storage costs payable current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccruedCloudStorageCostsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Cloud Storage Costs Payable Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AccruedCloudStorageCostsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued cloud storage costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaidInKindInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Paid-in-Kind Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaidInKindInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PIK interest added to principal</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure in tabular form of warrant contract asset as per balance sheet classification.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disclosure In Tabular Form Of Warrant Contract Asset As Per Balance Sheet Classification [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentOfDeferredFinancingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment of deferred financing fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentOfDeferredFinancingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment of deferred financing fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_PaymentOfDeferredFinancingFees_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of deferred financing fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseDecreaseInContractWithCustomerLiabilityOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred other income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseDecreaseInContractWithCustomerLiabilityOther_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in contract with customer liability other.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_IncreaseDecreaseInContractWithCustomerLiabilityOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Contract With Customer Liability Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill and Intangible Assets Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CloudAndSoftware_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cloud and software</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CloudAndSoftware_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cloud and software.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_CloudAndSoftware_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cloud and software</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Common Stock, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionRatio1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Convertible, Conversion Ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentConvertibleConversionRatio1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillAcquiredDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill, Acquired During Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GoodwillAcquiredDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Goodwill, acquired during period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RedeemableConvertiblePreferredStockConvertedIntoPermanentEquityCommonStockUponInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Redeemable convertible preferred stock converted into permanent equity common stock upon initial public offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RedeemableConvertiblePreferredStockConvertedIntoPermanentEquityCommonStockUponInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redeemable Convertible Preferred Stock Converted Into Permanent Equity Common Stock Upon Initial Public Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_RedeemableConvertiblePreferredStockConvertedIntoPermanentEquityCommonStockUponInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of redeemable convertible preferred stock to common stock in connection with initial public offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basis of Accounting, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principles of Consolidation and Basis of Presentation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Asset, Expected Amortization, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioUnspecifiedDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CustomerRelationshipsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer Relationships [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CustomerRelationshipsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer Relationships [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerReceivableAfterAllowanceForCreditLossCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Receivable, after Allowance for Credit Loss, Current, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerReceivableAfterAllowanceForCreditLossCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contract with customer receivable after allowance for credit loss current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalStockIssuedIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Stock Issued, Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalStockIssuedIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustment to additional paid in capital stock issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfRevenueExtensibleList_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue, Product and Service [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition, Transaction Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock value issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common stock value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentIncomeInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Income, Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentIncomeInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleofFiniteLivedIntangibleAssetsFutureAmortizationExpenseTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Estimated Future Amortization Expense Related to Intangible Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleofFiniteLivedIntangibleAssetsFutureAmortizationExpenseTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Finite-Lived Intangible Assets, Future Amortization Expense [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfEquitySecuritiesFvNi_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Sale of Equity Securities, FV-NI</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfEquitySecuritiesFvNi_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from sale of marketable equity securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfEquitySecuritiesFvNi_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Aggregate proceeds from sale of marketable equity securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfWarrantShareIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Class of warrant share issued.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfWarrantShareIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class Of Warrant Share Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ClassOfWarrantShareIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class Of Warrant Share Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScheduleOfLeaseTermAndDiscountRateTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Lease Term and Discount Rate [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScheduleOfLeaseTermAndDiscountRateTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of lease term and discount rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ScheduleOfLeaseTermAndDiscountRateTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Lease Term and Discount Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtCommitmentLetterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt commitment letter.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtCommitmentLetterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Commitment Letter [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContingentConsiderationTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Consideration Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentPercentageOfRepaymentUponMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument, percentage of repayment upon maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentPercentageOfRepaymentUponMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt instrument, percentage of repayment upon maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DebtInstrumentPercentageOfRepaymentUponMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument, percentage of repayment upon maturity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Present value of net minimum lease payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedPayrollTaxesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Payroll Taxes, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedPayrollTaxesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued employer payroll tax related to stock-based compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtConversionNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Conversion, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and contingencies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPlanModificationIncrementalCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Plan Modification, Incremental Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPlanModificationIncrementalCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share based compensation by share based award incremental compensation costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAcquiredFiniteLivedIntangibleAssetByMajorClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Acquired Finite-Lived Intangible Asset by Major Class [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average common shares outstanding, diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted-average shares outstanding used to compute net loss per share, diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Significant Accounting Policies [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Significant Accounting Policies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Debt, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible promissory note</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AgreementTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Agreement Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AgreementTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Agreement Type Domain</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redeemable Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redeemable Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Convertible preferred stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, after Allowance for Credit Loss, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableNetCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts receivable, net of allowances of $1,545 and $1,141 at June 30, 2025 and December 31, 2024, respectively</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentArrangementContractToPerformForOthersByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Arrangement, Contract to Perform for Others, Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total minimum lease payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total rent payments over the lease term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicensingAndCloudComputingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Data Licensing And Cloud Computing Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicensingAndCloudComputingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Data licensing and cloud computing expense.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DataLicensingAndCloudComputingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Data licensing and cloud computing expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContractWithCustomerLiabilityOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred other income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContractWithCustomerLiabilityOther_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contract with customer liability other.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContractWithCustomerLiabilityOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract With Customer Liability Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInventories_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Inventories</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInInventories_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Inventory</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series c.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series C [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SeriesCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series C [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DeferredOfferingCostsAccruedButNotYetPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred offering costs accrued but not yet paid.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DeferredOfferingCostsAccruedButNotYetPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Offering Costs Accrued But Not Yet Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DeferredOfferingCostsAccruedButNotYetPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred offering costs, accrued but not yet paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SBTempusCorpMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SB Tempus Corp [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SBTempusCorpMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">SB Tempus Corp.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_SBTempusCorpMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">S B Tempus Corp [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Rule10B51TradingPlanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Rule10B5 1 Trading Plan One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Rule10B51TradingPlanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Rule10B5 1 trading plan one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_Rule10B51TradingPlanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rule 10b5-1 Trading Plan One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskBenchmarkDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Benchmark [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityConvertedIntoPermanentEquityValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Temporary equity converted into permanent equity value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityConvertedIntoPermanentEquityValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity Converted Into Permanent Equity Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_TemporaryEquityConvertedIntoPermanentEquityValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of redeemable convertible preferred stock to common stock in connection with initial public offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AgreementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AgreementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Agreement [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContingentConsiderationArrangementOfNonVotingCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contingent consideration arrangement of non voting common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContingentConsiderationArrangementOfNonVotingCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Consideration Arrangement Of Non Voting Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContingentConsiderationArrangementOfNonVotingCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent consideration arrangement of non voting common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NatureOfOperationsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Nature of operations [Table].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_NatureOfOperationsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nature Of Operations [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DeidendifiedDataThroughAmendedAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">DeIdendified data through amended agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DeidendifiedDataThroughAmendedAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">DeIdendified Data Through Amended Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Small Business</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_FourYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Four Year [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Basis Spread on Variable Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument variable interest rate spread percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayments of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmountOwedToAcquireeUnderPreexistingRelationship_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amount Owed to Acquiree Under Preexisting Relationship</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmountOwedToAcquireeUnderPreexistingRelationship_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount owed to acquiree under preexisting relationship.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_AmountOwedToAcquireeUnderPreexistingRelationship_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amount owed to acquiree under preexisting relationship</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteStockSplitConversionRatio1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity Note, Stock Split, Conversion Ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteStockSplitConversionRatio1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stockholders equity stock split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EstimatedMinimumRevenueToBeAttainedByTheAcquiree_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Estimated minimum revenue to be attained by the acquiree.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EstimatedMinimumRevenueToBeAttainedByTheAcquiree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Estimated Minimum Revenue To Be Attained By The Acquiree</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_EstimatedMinimumRevenueToBeAttainedByTheAcquiree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated minimum revenue to be attained by the acquiree</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net assets acquired and liabilities assumed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContingentUponRevenueTarget_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contingent upon revenue target.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContingentUponRevenueTarget_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Upon Revenue Target</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_ContingentUponRevenueTarget_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent upon revenue target</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revolving Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revolving Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DavidREpsteinMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">David R. Epstein [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="tem_DavidREpsteinMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">David R. Epstein.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardNetOfForfeitures_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted stock shares issued during the period net of forfeitures shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardNetOfForfeitures_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock issued during the period restricted stock award netof forfeitures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardNetOfForfeitures_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock upon settlement of restricted stock units, net (Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Asset, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant asset, less current portion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided by (Used in) Financing Activities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing activities</link:label>
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        <link:calculationLink xlink:type="extended" xlink:role="http://www.tem.com/20250630/taxonomy/role/DisclosureLeasesScheduleOfFuturePaymentsUnderOperatingLeasesDetail">
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  <xsd:element id="tem_ContractWithCustomerLiabilityOtherNoncurrent" name="ContractWithCustomerLiabilityOtherNoncurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
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  <xsd:element id="tem_DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationTableTextBlock" name="DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
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  <xsd:element id="tem_InvestmentInEquitySecuritiesAtFairValueSoldNumberOfShares" name="InvestmentInEquitySecuritiesAtFairValueSoldNumberOfShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_RecentlyIssuedAccountingPronouncementsNotYetAdoptedPolicyTextBlock" name="RecentlyIssuedAccountingPronouncementsNotYetAdoptedPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
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  <xsd:element id="tem_ScheduleOfFairValueAssetsAndLiabiltyMeasuredOnUnobservableInputReconciliationTableTextBlock" name="ScheduleOfFairValueAssetsAndLiabiltyMeasuredOnUnobservableInputReconciliationTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_ShareholdingBelowWhichTriggerIsCausedForConversionOfStockFromOneClassToAnother" name="ShareholdingBelowWhichTriggerIsCausedForConversionOfStockFromOneClassToAnother" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="tem_TermOfAgreement" name="TermOfAgreement" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_DataLicenseFeesToBeReceivedFromCounterparty" name="DataLicenseFeesToBeReceivedFromCounterparty" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="tem_AmbryAcquisitionAndDeepSixAcquisitionMember" name="AmbryAcquisitionAndDeepSixAcquisitionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
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  <xsd:element id="tem_MasterServicesAgreementWithAstraZenecaAsAmendedMember" name="MasterServicesAgreementWithAstraZenecaAsAmendedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
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  <xsd:element id="tem_StockIssuedDuringThePeriodSharesTowardsWorkingCapitalAdjustment" name="StockIssuedDuringThePeriodSharesTowardsWorkingCapitalAdjustment" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
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  <xsd:element id="tem_TaxesRelatedToNetShareSettlementOfRestrictedStockUnitsNotYetPaid" name="TaxesRelatedToNetShareSettlementOfRestrictedStockUnitsNotYetPaid" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
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  <xsd:element id="tem_DevelopedBiotechnologyMember" name="DevelopedBiotechnologyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
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  <xsd:element id="tem_ShareBasedCompensationByShareBasedNumberOfAdditionalNumberOfSharesAvailableForIssuanceAsAPercentageOfOutstandingCommonStock" name="ShareBasedCompensationByShareBasedNumberOfAdditionalNumberOfSharesAvailableForIssuanceAsAPercentageOfOutstandingCommonStock" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
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  <xsd:element id="tem_MarketableEquitySecuritiesFairValueDisclosure" name="MarketableEquitySecuritiesFairValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
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  <xsd:element id="tem_DiscreteIncomeTaxBenefit" name="DiscreteIncomeTaxBenefit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="tem_WarrantLiabilityFairValueDisclosure" name="WarrantLiabilityFairValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_BusinessCombinationContingentConsiderationLiabilityBasedOnRevenueMilestone" name="BusinessCombinationContingentConsiderationLiabilityBasedOnRevenueMilestone" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_AccruedCloudStorageCostsPayableCurrent" name="AccruedCloudStorageCostsPayableCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_AndrewPolovinMember" name="AndrewPolovinMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_SalesAgreementMember" name="SalesAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_TwelveMonthsEndedThirtyFirstOfDecemberTwoThousandAndTwentyFiveMember" name="TwelveMonthsEndedThirtyFirstOfDecemberTwoThousandAndTwentyFiveMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_CommitmentOfTheCounterpartyIfTheWarrantsAreExercised" name="CommitmentOfTheCounterpartyIfTheWarrantsAreExercised" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_CostOfRevenueGenomicsMember" name="CostOfRevenueGenomicsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_BaseRateOneMember" name="BaseRateOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_TemporaryEquityStockIssuedDuringThePeriodSharesPaymentOfDividendInKind" name="TemporaryEquityStockIssuedDuringThePeriodSharesPaymentOfDividendInKind" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_AmountReceiveFromRelatedParty" name="AmountReceiveFromRelatedParty" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="tem_AggregateTradingPeriodForDeterminingTheSpecialPricePayableToTheHoldersOfTemporaryEquity" name="AggregateTradingPeriodForDeterminingTheSpecialPricePayableToTheHoldersOfTemporaryEquity" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_DebtInstrumentPaidInKindInterestPercentage" name="DebtInstrumentPaidInKindInterestPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_BaseCashConsideration" name="BaseCashConsideration" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_TermLoanFacilityMember" name="TermLoanFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_EstimatedMinimumRevenueToBeAttainedByTheAcquiree" name="EstimatedMinimumRevenueToBeAttainedByTheAcquiree" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_AdditionalTermLoanMember" name="AdditionalTermLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_AmendedAndRestatedConvertiblePromissoryNoteMember" name="AmendedAndRestatedConvertiblePromissoryNoteMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_GenomicMember" name="GenomicMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_CompanyRecognizedGainDueChangeFairValueOfWarrantAsset" name="CompanyRecognizedGainDueChangeFairValueOfWarrantAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="tem_ContingentConsiderationCashPayment" name="ContingentConsiderationCashPayment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="tem_LeaseAgreementMember" name="LeaseAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_Rule10B51ArrModifiedFlag" name="Rule10B51ArrModifiedFlag" type="xbrli:booleanItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_AllenCompanyWarrantMember" name="AllenCompanyWarrantMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_DebtInstrumentVariableInterestRateSpreadPercentageBasedOnWhichTheBorrowingTypeCanBeConvertedIntoBaseRate" name="DebtInstrumentVariableInterestRateSpreadPercentageBasedOnWhichTheBorrowingTypeCanBeConvertedIntoBaseRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_CumulativeAmountPaid" name="CumulativeAmountPaid" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="tem_Seriesg4preferredstockMember" name="Seriesg4preferredstockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_DataLicenseAgreementMember" name="DataLicenseAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_DataAndOtherMember" name="DataAndOtherMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_NineMonthsEndedThirtyFirstOfDecemberTwoThousandAndTwentyFiveMember" name="NineMonthsEndedThirtyFirstOfDecemberTwoThousandAndTwentyFiveMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_SeriesAToSeriesGRedeemableConvertiblePreferredStockOtherThanClassBMember" name="SeriesAToSeriesGRedeemableConvertiblePreferredStockOtherThanClassBMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_RevenueFromSubscriptionFee" name="RevenueFromSubscriptionFee" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_AgreementDomain" name="AgreementDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_SengineMember" name="SengineMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_PercentageOfCurrentOutstandingEquity" name="PercentageOfCurrentOutstandingEquity" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="tem_ConversionOfNonVotingCommonStockIntoVotingCommonStockValue" name="ConversionOfNonVotingCommonStockIntoVotingCommonStockValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_AccountingPoliciesTable" name="AccountingPoliciesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_SummaryOfSignificantSegmentExpensesReconciledToTotalSellingGeneralAndAdministrativeExpensesTableTextBlock" name="SummaryOfSignificantSegmentExpensesReconciledToTotalSellingGeneralAndAdministrativeExpensesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_MasterServicesAgreementMember" name="MasterServicesAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_AccountingPoliciesLineItems" name="AccountingPoliciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_ClassOfWarrantShareIssued" name="ClassOfWarrantShareIssued" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="tem_RelatedPartyAssetNoncurrent" name="RelatedPartyAssetNoncurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="tem_DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationTable" name="DisclosureInTabularFormOfWarrantContractAssetAsPerBalanceSheetClassificationTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_EricLefkofskyOneMember" name="EricLefkofskyOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_TemporaryEquityConvertedIntoPermanentEquityValue" name="TemporaryEquityConvertedIntoPermanentEquityValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="tem_DebtConversionConditionOneMember" name="DebtConversionConditionOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_RelatedPartyPayableCurrent" name="RelatedPartyPayableCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_PriorityRevolvingCommitmentsMember" name="PriorityRevolvingCommitmentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_InterestPayableNonCurrent" name="InterestPayableNonCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_GenomicsProductMember" name="GenomicsProductMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_TemporaryEquityConvertedIntoPermanentEquityShares" name="TemporaryEquityConvertedIntoPermanentEquityShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_SengineHoldbackLiabilityMember" name="SengineHoldbackLiabilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_MaximumPercentageOfNotesConvertibleToSharesUponMaturityAtCompanyOption" name="MaximumPercentageOfNotesConvertibleToSharesUponMaturityAtCompanyOption" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_DataAndServicesMember" name="DataAndServicesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_SeriesB2Member" name="SeriesB2Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_AgreementTypeAxis" name="AgreementTypeAxis" type="xbrli:stringItemType" substitutionGroup="xbrldt:dimensionItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_SpecialPricePaidInCash" name="SpecialPricePaidInCash" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="tem_SeriesBBOneAndBTwoRedeemableConvertiblePreferredStockMember" name="SeriesBBOneAndBTwoRedeemableConvertiblePreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_CommercializationAndReferenceLaboratoryAgreementMemberWithPersonalisIncMember" name="CommercializationAndReferenceLaboratoryAgreementMemberWithPersonalisIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_DeidendifiedDataThroughAmendedAgreementMember" name="DeidendifiedDataThroughAmendedAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_SeriesDMember" name="SeriesDMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_DevelopedTechnologySoftwareMember" name="DevelopedTechnologySoftwareMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_EmergingGrowthCompanyPolicyTextBlock" name="EmergingGrowthCompanyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_WarrantContractAssetNonCurrent" name="WarrantContractAssetNonCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="tem_ClinicalOrderMember" name="ClinicalOrderMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="tem_PercentageOfOutstandingCommonStock" name="PercentageOfOutstandingCommonStock" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="tem_TwoThousandAndFifteenStockOptionPlanMember" name="TwoThousandAndFifteenStockOptionPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
</xsd:schema>
