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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Grant Date Fair Value, Vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legacy Allurion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Allurion Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Legacy Allurion.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrincipalAmountOfRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Principal amount of Revenue Interest Financing.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrincipalAmountOfRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increasing the total principal amount of Revenue Interest Financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncreaseInSalesRevenueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase in Sales Revenue Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncreaseInSalesRevenueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase in sales revenue net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncreaseInSalesRevenueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase in Sales Revenue Net</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Income Taxes, Foreign</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAdjustmentOfEarnOutLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value adjustment of earn-out liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAdjustmentOfEarnOutLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of earn-out liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAdjustmentOfEarnOutLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Changes in fair value of earn-out liabilities</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_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_FairValueMeasurementWithUnobservableInputsReconciliationsRecurringBasisLiabilityValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning Balance</link:label>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue interest financing due.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingDueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Interest Financing</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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAgreementRemeasuredValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Interest Financing Agreement Remeasured Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAgreementRemeasuredValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Interest Financing Agreement Remeasured Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAgreementRemeasuredValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue Interest financing agreement remeasured value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 2</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net deferred tax assets</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and Contingencies</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">Number of shares authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductOrServiceAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Product and Service [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockVotingRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Voting Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockVotingRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock voting rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationByLiabilityClassDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value by Liability Class [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AmortizationOfIssuanceCostsAssociatedWithWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance costs associated with warrants recorded at fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AmortizationOfIssuanceCostsAssociatedWithWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization Of Issuance Costs Associated With Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AmortizationOfIssuanceCostsAssociatedWithWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of issuance costs associated with warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Period Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Period Focus</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">Interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingStandardsUpdate202309Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update 2023-09 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingStandardsUpdate202309Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ASU 2023-09</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFivePrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">February 2025 Private Placement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFivePrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">February two thousand twenty five Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFivePrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">February two thousand twenty five Private Placement.</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="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Shell Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Temporary Equity, Balance (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Temporary Equity, Balance (in Shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquitySharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A redeemable convertible preferred stock, shares outstanding</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">Other accrued expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfValueCommonStockForConversionOfPreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Value Common Stock For Conversion Of Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfValueCommonStockForConversionOfPreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of value common stock for conversion of preferred stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfValueCommonStockForConversionOfPreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of value common stock for conversion of preferred stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Debt [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Notes</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 upon issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FromJuly12024ToSeptember302024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">From July 1, 2024 to September 30, 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FromJuly12024ToSeptember302024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">From July 1, 2024 to September 30, 2024 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FromJuly12024ToSeptember302024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">From July 1, 2024 to September 30, 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segment Reporting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash and Cash Equivalents, at Carrying Value, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReconciliationOfCashAndCashEquivalentsAndRestrictedCashTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reconciliation of Cash and Cash Equivalents and Restricted Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReconciliationOfCashAndCashEquivalentsAndRestrictedCashTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reconciliation of Cash and Cash Equivalents and Restricted Cash [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReconciliationOfCashAndCashEquivalentsAndRestrictedCashTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reconciliation of cash and cash equivalents and restricted cash.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Maturities of Long-Term Debt [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Future Maturities of the Term Loan Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFivePrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January two thousand twenty five Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFivePrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January two thousand twenty five private placement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFivePrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 2025 Private Placement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management, Strategy, and Governance [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of shares issued</link:label>
          <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>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleReportToBoardFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Positions or Committees Responsible Report to Board [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskBoardOfDirectorsOversightTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Board of Directors Oversight [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer Benchmark [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue from Contract with Customer Benchmark</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Class [Domain]</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/terseLabel">Statement [Table]</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>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Right-of-Use Asset Obtained in Exchange for Operating Lease Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease assets obtained in exchange for lease obligations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Operating lease assets obtained in exchange for lease obligations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProvisionForUncollectibleAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision for Uncollectible Accounts</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProvisionForUncollectibleAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Provision for uncollectible accounts.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProvisionForUncollectibleAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for uncollectible accounts</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock in Connection with RTW Private Placement, Net of Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock in connection with RTW private placement, net of issuance costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with RTW Private Placement, net of issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average grant-date fair value of the stock option awards granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DigitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Digital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DigitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Digital.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DigitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Digital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LeavittPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leavitt Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LeavittPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Leavitt private placement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LeavittPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leavitt Private Placement</link:label>
          <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="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer [Policy Text Block]</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">Warrants to purchase 0.056818 shares of Common Stock for $202.50 per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInOtherComprehensiveIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value - OCI</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInOtherComprehensiveIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Other Comprehensive Income (Loss)</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="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Filer Category</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/terseLabel">Reclassification of Prior Year Presentation</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="alur_DebtInstrumentFloorConversionPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Floor Conversion Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentFloorConversionPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument, floor conversion price per share.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentFloorConversionPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Floor conversion price per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OperatingLeaseEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating lease end date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OperatingLeaseEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OperatingLeaseEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease end date</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 and stockholders' deficit</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Exercise Price, Exercisable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity Note, Stock Split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stockholders' equity note, stock split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TermLoanDerivativeLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Term Loan Derivative Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TermLoanDerivativeLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan Derivative Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TermLoanDerivativeLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term Loan Derivative Liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfInternalRateOfReturn_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Internal Rate of Return</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfInternalRateOfReturn_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of internal rate of return.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfInternalRateOfReturn_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of Internal Rate of Return</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Tangible Asset [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock Warrants</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/terseLabel">Interest, frequency of payment</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>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additions charged to net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Valuation allowance increased</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFiveWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Two Thousand Twenty Five Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFiveWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January two thousand twenty five warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFiveWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 2025 Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwardsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Loss Carryforwards [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DistributorFeesAndMarketingReimbursements_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Distributor fees and marketing reimbursements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DistributorFeesAndMarketingReimbursements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Distributor Fees And Marketing Reimbursements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DistributorFeesAndMarketingReimbursements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Distributor fees and marketing reimbursements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskThirdPartyOversightAndIdentificationProcessesFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Third Party Oversight and Identification Processes [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityPayments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LatestTaxYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Latest Tax Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LatestTaxYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Latest Tax Year [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Valuation allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending balances</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning balances</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Valuation allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Valuation Allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Table Text Block [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes Tables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S. statutory federal income tax rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent</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_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/terseLabel">Original issue price</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="cyd_CybersecurityRiskManagementThirdPartyEngagedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Third Party Engaged [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentsIncorporatedByReferenceTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Documents Incorporated by Reference [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AverageMarketCapitalizationAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Average Market Capitalization Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AverageMarketCapitalizationAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Average market capitalization amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AverageMarketCapitalizationAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Average market capitalization amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Effective tax rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Effective tax rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effective tax rates</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAssumptionsOfLiquidityEventTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value assumptions of liquidity event term.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAssumptionsOfLiquidityEventTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Assumptions of Liquidity Event Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAssumptionsOfLiquidityEventTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value assumptions of liquidity event term</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivableRecoveries_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, Allowance for Credit Loss, Recovery</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivableRecoveries_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recoveries</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivableRecoveries_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Recoveries</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Jurisdiction [Axis]</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">Proceeds from issuance of convertible notes</link:label>
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          <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 issue of convertible notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change in fair value of debt.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in fair value of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: Change in fair value of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Domain]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsRestrictedCashAndCashEquivalentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and Cash Equivalents and Restricted Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsRestrictedCashAndCashEquivalentsPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalents, Restricted Cash and Cash Equivalents, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Basic [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Numerator:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JulyTwoThousandTwentyFourPrivatePlacementWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">July Two Thousand Twenty Four Private Placement Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JulyTwoThousandTwentyFourPrivatePlacementWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">July two thousand twenty four private placement warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JulyTwoThousandTwentyFourPrivatePlacementWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">July 2024 Private Placement Warrants</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfSurrenderSharesOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number Of Surrender Shares Of Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfSurrenderSharesOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of surrender shares of common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfInventoryCurrentTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Inventory, Current [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfInventoryCurrentTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Inventory</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedPeriodStartLabel">Balance at beginning of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedPeriodEndLabel">Balance at end of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance at beginning of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Accounts Receivable, Allowance for Credit Loss, Ending Balance</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/verboseLabel">Unamortized debt issuance costs</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">Debt issuance cost</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/totalLabel">Debt Issuance Costs, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionCommonStockWarrantLiabilitiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Legacy allurion common stock warrant liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionCommonStockWarrantLiabilitiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Allurion Common Stock Warrant Liabilities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionCommonStockWarrantLiabilitiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legacy Allurion Common Stock Warrant Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate During Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current margin percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Average interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockAmountConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock, Amount Converted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockAmountConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Series A Preferred Stock into Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockAmountConverted1_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Conversion of Series A Preferred Stock into Common Stock</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_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_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment [Line Items]</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/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">Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SalesRevenueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sales Revenue Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SalesRevenueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sales revenue net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SalesRevenueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sales Revenue Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AggregatePurchasePriceFromOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Aggregate Purchase Price From Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AggregatePurchasePriceFromOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Aggregate purchase price from offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AggregatePurchasePriceFromOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate purchase price</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="alur_ReductionInProceedsFromOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reduction in Proceeds From Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReductionInProceedsFromOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reduction in proceeds from offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReductionInProceedsFromOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduction in proceeds from offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebInstrumentConvertibleMaximumLimitationPercentageOfSharesOfCommonStockOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deb Instrument, Convertible, Maximum Limitation Percentage of Shares of Common Stock Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebInstrumentConvertibleMaximumLimitationPercentageOfSharesOfCommonStockOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deb instrument, convertible, maximum limitation percentage of shares of common stock outstanding.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebInstrumentConvertibleMaximumLimitationPercentageOfSharesOfCommonStockOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum percentage of number of shares of common stock outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Options, Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Options granted during the period</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="cyd_CybersecurityRiskManagementStrategyAndGovernanceTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management, Strategy, and Governance [Table]</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">Summary of Basic and Diluted Net Loss per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RestructuringIncurredCostStatementOfIncomeOrComprehensiveIncomeExtensibleEnumerationNotDisclosedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Incurred Cost Statement of Income or Comprehensive Income Extensible Enumeration Not Disclosed Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RestructuringIncurredCostStatementOfIncomeOrComprehensiveIncomeExtensibleEnumerationNotDisclosedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Restructuring Incurred Cost Statement of Income or Comprehensive Income Extensible Enumeration Not Disclosed Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentDefaultInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Default interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentDefaultInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt instrument default interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentDefaultInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument default interest rate</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 income (loss) 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/label">Net loss 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/verboseLabel">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/totalLabel">Earnings Per Share, Basic, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Revenues by Geographic Region</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveOfferingAndPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">November Two Thousand Twenty Five Offering and Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveOfferingAndPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November two thousand twenty five offering and private placement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveOfferingAndPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November 2025 Offering and Private Placement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OperatingLeaseCommencementDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating lease commencement date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OperatingLeaseCommencementDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease Commencement Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OperatingLeaseCommencementDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease commencement date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Number of Options, Ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Number of Options, Beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Debt Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt, Policy [Policy Text Block]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentPrincipalAmountForConversionIntoCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Principal Amount For Conversion Into Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentPrincipalAmountForConversionIntoCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument, principal amount for conversion into common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentPrincipalAmountForConversionIntoCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument, principal amount for conversion into common stock</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="alur_DeferredTaxAssetsDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxAssetsDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxAssetsDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax assets depreciation.</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_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Adjustments to reconcile net income (loss) to net cash used in operating activities:</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustments to reconcile net loss to net cash used in operating activities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesFromExternalCustomersAndLongLivedAssetsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues from External Customers and Long-Lived Assets [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Changes in Fair Values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NetProceedsFromIssuanceOrSaleOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Proceeds from Issuance or Sale of Equity</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NetProceedsFromIssuanceOrSaleOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net proceeds from offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleLongTermNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payable, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleLongTermNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible notes payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleLongTermNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Convertible notes payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UnrealizedExchangeGainLossAndOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrealized exchange gain (loss) and other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UnrealizedExchangeGainLossAndOther_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unrealized exchange gain (loss) and other.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UnrealizedExchangeGainLossAndOther_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Unrealized exchange gain (loss) and other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfOutstandingCapitalStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of outstanding capital stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfOutstandingCapitalStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Outstanding Capital Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfOutstandingCapitalStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of outstanding capital stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DomesticCountryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Federal</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DomesticCountryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Domestic Tax Jurisdiction [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseDebtExcludingAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Debt, Excluding Amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseDebtExcludingAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contractual interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfOtherPertinentLeaseInformationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of other pertinent lease information.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfOtherPertinentLeaseInformationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Other Pertinent Lease Information [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfOtherPertinentLeaseInformationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Other Pertinent Lease Information</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LesseeOperatingLeaseTerminatedDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease terminated date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LesseeOperatingLeaseTerminatedDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee Operating Lease Terminated Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LesseeOperatingLeaseTerminatedDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Lessee operating lease terminated date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsForNewAccountingPronouncementsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RothCapitalPartnersLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Roth Capital Partners LLC [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RothCapitalPartnersLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Roth Capital Partners LLC</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RothCapitalPartnersLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Roth Capital Partners LLC</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' deficit:</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="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Small Business</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="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Retained Earnings (Accumulated Deficit), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accumulated deficit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UntilMarch312024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Until March 31, 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UntilMarch312024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Until March 31, 2024 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UntilMarch312024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Until March 31, 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeographicConcentrationRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographic Concentration Risk [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeographicConcentrationRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Geographic Concentration Risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityWellKnownSeasonedIssuer_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Well-known Seasoned Issuer</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Forfeitures in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Number of Options, Cancellations and forfeitures</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 public offerings, net of issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Purchase price per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentForeignTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Foreign Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentForeignTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign</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>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants measurement input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Extinguishment of Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value measurement with unobservable inputs reconciliation, recurring basis liability, extinguishment of debt.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Extinguishment of debt</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_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="alur_WarrantsIssuedAtJuly012024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants issued at july 012024 member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJuly012024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">July 1, 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJuly012024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Public Offering Warrants Issued in July 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJuly012024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued in July 2024</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">Class A Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PipeConversionOptionRemeasuredValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PIPE Conversion Option Remeasured Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PipeConversionOptionRemeasuredValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">PIPE Conversion Option Remeasured Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PipeConversionOptionRemeasuredValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">PIPE conversion option remeasured value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryValuationReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory Valuation Reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryValuationReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryValuationReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Provision for excess and obsolete inventory</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="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amendment Flag</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_LossContingenciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss Contingencies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S. statutory federal income tax rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentAdditionalPrincipalAmountForConversionIntoCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Additional Principal Amount For Conversion Into Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentAdditionalPrincipalAmountForConversionIntoCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument, additional principal amount for conversion into common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentAdditionalPrincipalAmountForConversionIntoCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument, additional principal amount for conversion into common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">November Two Thousand Twenty Five Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November two thousand twenty five offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November 2025 Offering</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">Conversion of warrants into shares of common stock</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">Warrants converted into warrants exercisable</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/terseLabel">Warrants to purchase an aggregate shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrePaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pre payments percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrePaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pre Payments Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrePaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre payments percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationBasisOfPresentationBusinessDescriptionAndAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Organization and Basis of Presentation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationBasisOfPresentationBusinessDescriptionAndAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization, Consolidation, Basis of Presentation, Business Description and Accounting Policies [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</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_ConcentrationRiskLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">November Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November private placement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November Private Placement</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 and Stockholders' Deficit</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="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Postal Zip Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TradeAndOtherAccountsReceivablePolicy_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_TradeAndOtherAccountsReceivablePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable [Policy Text Block]</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">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation</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/terseLabel">Cash outflows from 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_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Cash outflows from operating activities</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">Lease liabilities</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_SegmentReportingCodmProfitLossMeasureHowUsedDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Profit (Loss) Measure, How Used, Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfCommonStockReservedForFutureIssuanceTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Common Stock Reserved for Future Issuance [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfCommonStockReservedForFutureIssuanceTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of common stock reserved for future issuance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfCommonStockReservedForFutureIssuanceTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Reserved for Issuance Upon the Potential Conversion or Exercise</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</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/verboseLabel">Common Stock, par value $0.0001 per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsOrChangeInAccountingPrincipleTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update and Change in Accounting Principle [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PreferredStockRedemptionValueToPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Preferred stock redemption value to price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PreferredStockRedemptionValueToPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock redemption value to price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskRoleOfManagementTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Role of Management [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFivePrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">November Two Thousand Twenty Five Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFivePrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November two thousand twenty five private placement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFivePrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November 2025 Private Placement Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Defined Contribution Plan, Employer Discretionary Contribution Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Defined benefit plan matching contributions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Grants in Period, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Exercise Price, Granted</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_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="alur_WarrantsIssuedAtSeptember082017Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued At September082017.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtSeptember082017Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued At September082017 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtSeptember082017Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">September 8, 2017</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/2003/role/periodEndLabel">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Ending Balance</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/periodStartLabel">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Beginning Balance</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/totalLabel">Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Total</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 and amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Debt Discount (Premium)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of the debt discount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">November Two Thousand Twenty Five Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November two thousand twenty five warrants member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November 2025 Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PortionAtFairValueFairValueDisclosureMember_lbl" xlink:role="http://fasb.org/us-gaap/role/label/axisDefault">Portion at Fair Value Measurement [Member] [Default]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PortionAtFairValueFairValueDisclosureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Portion at Fair Value Measurement [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="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Total deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Total deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Tax Liabilities, Gross, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingPrincipleAccountingStandardsUpdateImmaterialEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Accounting Principle, Accounting Standards Update, Immaterial Effect [true false]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingPrincipleAccountingStandardsUpdateImmaterialEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in accounting principle accounting standards update immaterial effect</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net income (loss) per share</link:label>
          <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_IncomeTaxPolicyTextBlock_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_IncomeTaxPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Flag]</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="alur_BalloonsPlacedDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Balloons Placed During Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BalloonsPlacedDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Balloons placed during period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BalloonsPlacedDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Balloons placed during period</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/totalLabel">Total operating lease assets</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">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/verboseLabel">Operating lease assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total deferred tax assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Board Committee or Subcommittee Responsible for Oversight [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AmendedAndRestatedRtwSideLetterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amended and restated RTW side letter.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AmendedAndRestatedRtwSideLetterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amended and Restated RTW Side Letter [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AmendedAndRestatedRtwSideLetterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">RTW Side Letter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GrossProfit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gross Profit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GrossProfit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross profit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GrossProfit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Gross profit</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_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Domain]</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="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Central Index Key</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskProcessForInformingBoardCommitteeOrSubcommitteeResponsibleForOversightTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Process for Informing Board Committee or Subcommittee Responsible for Oversight [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ShareObligationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Obligation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ShareObligationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share Obligation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ShareObligationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ShareObligationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Share Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrivatePlacementWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrivatePlacementWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Private Placement Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrivatePlacementWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private Placement Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OrganizationAndDescriptionOfBusinessAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Organization and description of business.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OrganizationAndDescriptionOfBusinessAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization and Description of Business [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingSideLetterAndPIPEConversionOptionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue interest financing, side letter, and PIPE conversion option.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingSideLetterAndPIPEConversionOptionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Interest Financing, Side Letter, And P I P E Conversion Option [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingSideLetterAndPIPEConversionOptionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Interest Financing, Side Letter, and PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwentyThousandTwentyFourRestructuringPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 Restructuring Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwentyThousandTwentyFourRestructuringPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Twenty Thousand Twenty Four Restructuring Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwentyThousandTwentyFourRestructuringPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Twenty thousand twenty four restructuring plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Approach and Technique [Axis]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RoyaltyRatesIncreasedByFactorOfPrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty rates increased by factor of Principal Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RoyaltyRatesIncreasedByFactorOfPrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Royalty rates increased by factor of principal amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RoyaltyRatesIncreasedByFactorOfPrincipalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty rates increased by factor of principal 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/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">Antidilutive securities excluded from computation of earnings per share, amount</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue interest financing agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Interest Financing Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Interest Financing Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfAdoptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update [Domain]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other comprehensive income (loss)</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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfEmployeesCompensationToPayrollDeductions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of employees compensation to payroll deductions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LesseeOperatingLeaseExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Lessee operating lease expiration period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LesseeOperatingLeaseExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee Operating Lease Expiration Period</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Remaining Contractual Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PreferredStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Preferred Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PreferredStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PreferredStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred Stock Warrants (as converted to Common)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TimeVestedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Time-Vested Restricted Stock Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TimeVestedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Time-Vested Restricted Stock Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TimeVestedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Time-vested restricted stock units.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfConversionDiscountedPriceIsCalculatedOfCashPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of conversion discounted price is calculated of cash price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfConversionDiscountedPriceIsCalculatedOfCashPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Conversion Discounted Price Is Calculated Of Cash Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfConversionDiscountedPriceIsCalculatedOfCashPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of conversion discounted price is calculated of cash price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WorkersCompensationLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Workers' Compensation Liability, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WorkersCompensationLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicWarrantsToPurchaseCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public warrants to purchase common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicWarrantsToPurchaseCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Warrants To Purchase Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicWarrantsToPurchaseCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Warrants to Purchase Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesDTwoPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series D Two Preferred Stock Member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesDTwoPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series D Two Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesDTwoPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series D-2 Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnTerminationOfLease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gain on lease termination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnTerminationOfLease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Termination of Lease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFinStmtErrorCorrectionFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Financial Statement Error Correction [Flag]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesCommonStockForConversionOfPreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of shares common stock for conversion of Preferred stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesCommonStockForConversionOfPreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of shares common stock for conversion of preferred stock ( in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2025</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common stock issued upon exercise of stock options</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Number of Options, Exercised</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="alur_NewAllurionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">New Allurion.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NewAllurionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Allurion [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NewAllurionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">New Allurion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AllurionGastricBalloonSystemMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Allurion Gastric Balloon System [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AllurionGastricBalloonSystemMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Allurion Gastric Balloon System.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AllurionGastricBalloonSystemMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Allurion Gastric Balloon System</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Exercise of Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Exercise of Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DerivativeLiabilitySuccessFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Derivative Liability-Success Fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DerivativeLiabilitySuccessFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Derivative liability-success fee.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DerivativeLiabilitySuccessFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability-Success Fee [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DerivativeLiabilitySuccessFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Success Fee Derivative Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfSalesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Cost of Revenue</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfSalesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost of Revenue</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="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Fiscal Year End Date</link:label>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdvertisingCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advertising and Marketing Costs</link:label>
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          <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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Number of RSUs, Ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Number of RSUs, Beginning balance</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InternalUseSoftwarePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Internal Use Software, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter_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="us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Table Text Block]</link:label>
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          <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">Issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Preferred Stock, Shares Outstanding, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Preferred Stock, Shares Outstanding, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Undesignated preferred stock, shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred stock, shares outstanding</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>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Comprehensive loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpensePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and Development Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpensePolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock shares reserved for future issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Capital Shares Reserved for Future Issuance</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="srt_StatementGeographicalAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfBusinessCombinationSharesCommonStockOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of Business Combination Shares Common Stock Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfBusinessCombinationSharesCommonStockOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Business Combination Shares Common Stock Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfBusinessCombinationSharesCommonStockOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Shares of Allurion Common Stock Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases, Future Minimum Payments, Due in Three Years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExistingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Existing Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExistingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Existing Warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExistingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Existing Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock, Shares Converted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesConverted1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableMember_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_AccountsReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryRawMaterials_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Raw Materials, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryRawMaterials_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Raw materials</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiabilityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Liability [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFiveOfferingAndPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January two thousand twenty five offering and private placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFiveOfferingAndPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January two thousand twenty five offering and private placement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFiveOfferingAndPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 2025 Offering and January 2025 Private Placement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandAndTenStockOptionPlanTwoThousandAndTwentyStockOptionPlanTwoThousandAndTwentyThreeStockOptionAndIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2010 Plan, 2020 Plan, 2023 Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandAndTenStockOptionPlanTwoThousandAndTwentyStockOptionPlanTwoThousandAndTwentyThreeStockOptionAndIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two thousand and Ten Stock Option Plan, Two Thousand and Twenty Stock Option Plan, Two Thousand and Twenty Three Stock Option and Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandAndTenStockOptionPlanTwoThousandAndTwentyStockOptionPlanTwoThousandAndTwentyThreeStockOptionAndIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand and ten stock option plan, two thousand and twenty stock option plan, two thousand and twenty three stock option and incentive plan.</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveOfferingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">November Two Thousand Twenty Five Offering Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveOfferingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November two thousand twenty five offering warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFiveOfferingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November 2025 Offering Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-taxable or Non-deductible items: Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Stock Options Exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of stock options</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomePolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Comprehensive Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomePolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PlacementAgentFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Placement Agent Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PlacementAgentFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Placement agent fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PlacementAgentFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Placement agent fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAccruedLiabilitiesAndOtherLiabilitiesDisclosureCurrentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable, Accrued Liabilities, and Other Liabilities Disclosure, Current [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAccruedLiabilitiesAndOtherLiabilitiesDisclosureCurrentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued Expenses and Other Current Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TermLoanAccretion_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term Loan Accretion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TermLoanAccretion_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan Accretion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TermLoanAccretion_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accretion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Deferred Tax Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Deferred Tax Assets and Liabilities [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Bad debt reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAllowanceForDoubtfulAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Asset, Tax Deferred Expense, Reserve and Accrual, Accounts Receivable, Allowance for Credit Loss</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="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Event</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsResearch_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development tax credits</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="currency_TRY_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Turkey, New Lira</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="currency_TRY_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Turkey</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Assets, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssetsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other long-term assets</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>
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          <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="alur_ScenarioPlanTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Scenario plan two.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">December 31, 2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLossCarryforwardsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Loss Carryforwards [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Rights, Percentage</link:label>
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          <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 Other Comprehensive Loss</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="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="alur_DeferredTaxAssetsLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxAssetsLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets Lease Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxAssetsLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax assets lease liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OptionRepricingOn2023PlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Option Repricing On 2023 Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OptionRepricingOn2023PlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Option Repricing On 2023 Plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseOptionToExtend_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Option to Extend</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseOptionToExtend_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee, operating lease, right to extend</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/periodEndLabel">Temporary Equity, Balance</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/periodStartLabel">Temporary Equity, Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAssetsMeasuredOnRecurringBasisObservableAndUnobservableInputReconciliationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value, assets measured on recurring basis, observable and unobservable input reconciliation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAssetsMeasuredOnRecurringBasisObservableAndUnobservableInputReconciliationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets Measured On Recurring Basis, Observable And Unobservable Input Reconciliation [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred stock, $0.0001 par value -</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, $0.0001 par value - 100,000,000 shares authorized as of December 31, 2025; and no shares issued and outstanding as of December 31, 2025 and December 31, 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfSharesOfCommonStockHeld_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of shares of common stock held</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfSharesOfCommonStockHeld_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage Of Shares Of Common Stock Held.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfSharesOfCommonStockHeld_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Shares Of Common Stock Held</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PubcoAdditionalShareLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">PubCo Additional Share Liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PubcoAdditionalShareLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">PubCo Additional Share Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PubcoAdditionalShareLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PubCo Additional Share Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandNineteenTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand nineteen term loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandNineteenTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Nineteen Term Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandNineteenTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2019 Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefitContinuingOperationsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Income Tax Expense (Benefit), Continuing Operations [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredIncomeTaxExpenseBenefitContinuingOperationsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfDebtExtinguishmentCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt prepayment penalty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfDebtExtinguishmentCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment for Debt Extinguishment or Debt Prepayment Cost</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="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="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/terseLabel">Minimum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average grant-date fair value of time-vested restricted stock units granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_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, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Grant Date Fair Value, Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RtwConvertibleNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">RTW Convertible Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RtwConvertibleNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">RTW convertible notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RtwConvertibleNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">RTW Convertible Notes</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="alur_WarrantsIssuedAtMarch302021Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued At March 30, 2021.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtMarch302021Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued At March 30, 2021 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtMarch302021Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">March 30, 2021</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="us-gaap_AccountsPayableAndOtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable and Other Accrued Liabilities, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAndOtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses and other current liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAndOtherAccruedLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total accrued expenses and other current liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares issuable for each outstanding warrants exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Number of Securities Called by Each Warrant or Right</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByEachWarrantOrRight_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrant exercisable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 3</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TaxPeriodDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tax Period [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets Measured on Recurring Basis [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value Hierarchy for Assets and Liabilities Measured at Fair Value at Issuance Date and on Recurring Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current liabilities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NonRule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-Rule 10b5-1 Arrangement Modified</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_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="alur_NonRule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non rule 10b5 1 arr modified flag.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightUnissued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class of Warrant Exchanged</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightUnissued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Unissued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_CL_lbl" xlink:role="http://www.xbrl.org/2003/role/label">CHILE</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_CL_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Chile</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="us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Accrued Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RTWShareObligationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">RTW Share Obligation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RTWShareObligationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Rtw share obligation,</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RTWShareObligationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending Balance (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning Balance (in shares)</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/totalLabel">Total accounts receivable, net</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/verboseLabel">Accounts receivable, net of allowance of doubtful accounts</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 allowance of doubtful accounts of $5,159 and $6,701 respectively</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExpenseOfIssuanceOfCommitmentShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expense of issuance of commitment shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExpenseOfIssuanceOfCommitmentShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Expense of Issuance of Commitment Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExpenseOfIssuanceOfCommitmentShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Expense of Issuance of Commitment Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockOptionAndIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockOptionAndIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Option and Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockOptionAndIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock option and incentive plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicShareWarrantsExercisable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Share Warrants Exercisable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicShareWarrantsExercisable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public share warrants exercisable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicShareWarrantsExercisable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public share warrants exercisable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsToPurchaseCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants to purchase common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsToPurchaseCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants To Purchase Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsToPurchaseCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants to Purchase Common Stock</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/verboseLabel">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/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 (Note 15)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeasesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeasesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Leases [Policy Text Block]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Weighted Average Grant Date Fair Value, Ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Weighted Average Grant Date Fair Value, Beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryWorkInProcess_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Work in Process, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryWorkInProcess_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Work in progress</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RelatedPartyTransactionConsultingFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Related party transaction consulting fees.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">General and Administrative Expenses</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/verboseLabel">Lease liability</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorFirmId_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Firm ID</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">Basis spread on variable rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity, Reverse Stock Split</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockDividendRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Dividend Rate, Percentage</link:label>
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          <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="srt_ScenarioForecastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Forecast</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioForecastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forecast [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedMarketingCostsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued selling and marketing</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TaxCreditCarryForwardsResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Tax credit carry forwards research and development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TaxCreditCarryForwardsResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tax Credit Carry Forwards Research And Development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TaxCreditCarryForwardsResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tax credit carry forwards research and development.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfShareObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change In Fair Value Of Share Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfShareObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change in fair value of share obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfShareObligation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of RTW Share Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfShareObligation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value of RTW Share Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TaxCreditCarryForwardsResearchAndDevelopmentExpirationYear_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Tax credits research and development expiration year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TaxCreditCarryForwardsResearchAndDevelopmentExpirationYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tax Credit Carry Forwards Research And Development Expiration Year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TaxCreditCarryForwardsResearchAndDevelopmentExpirationYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tax credit carry forwards research and development expiration year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskByBenchmarkAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Benchmark [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Scenario Plan Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">March 31, 2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario Plan Three [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Scenario plan three.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BusinessCombinationContingentConsiderationNumberOfAdditionalSharesReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earn-out shares receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BusinessCombinationContingentConsiderationNumberOfAdditionalSharesReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration, Number Of Additional Shares Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BusinessCombinationContingentConsiderationNumberOfAdditionalSharesReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination, contingent consideration, number of additional shares receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PubcoShareLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">PubCo Share Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PubcoShareLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">PubCo Share Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PubcoShareLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PubCo Share Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FromApril12024ToJune302024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">From April 1, 2024 to June 30, 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FromApril12024ToJune302024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">From April 1, 2024 to June 30, 2024 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FromApril12024ToJune302024Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">From April 1, 2024 to June 30, 2024.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFivePrivatePlacementWithRTWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">November Two Thousand Twenty Five Private Placement With RTW [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFivePrivatePlacementWithRTWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">November two thousand twenty five private placement with rtw.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NovemberTwoThousandTwentyFivePrivatePlacementWithRTWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November 2025 Private Placement with RTW</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinanceLeaseWeightedAverageDiscountRatePercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Finance leases, weighted-average discount rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinanceLeaseWeightedAverageDiscountRatePercent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finance Lease, Weighted Average Discount Rate, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in valuation allowances</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsPremiumsAndOtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Allowance for Doubtful Accounts, Premiums and Other Receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsPremiumsAndOtherReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Allowance of doubtful accounts</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss), Including Portion Attributable to Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net Income (Loss), Including Portion Attributable to Noncontrolling Interest, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Accrued interest and penalties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Examination, Penalties and Interest Accrued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Income Tax Examination, Penalties and Interest Accrued, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicOfferingWarrantsAndShareOverallotmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Offering Warrants and Share Overallotment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicOfferingWarrantsAndShareOverallotmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Offering Warrants and Share Overallotment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicOfferingWarrantsAndShareOverallotmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public offering warrants and share overallotment member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PaymentOfAccruedRestructuring_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment of Accrued restructuring</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PaymentOfAccruedRestructuring_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment of Accrued restructuring.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PaymentOfAccruedRestructuring_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Cash payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementPositionsOrCommitteesResponsibleTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Positions or Committees Responsible [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss Contingencies [Table]</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 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/totalLabel">Weighted Average Number of Shares Outstanding, Basic, Total</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">Basic weighted-average common stock outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProductDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Product Development</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProductDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Product development.</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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfIncreaseInNetSales_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of increase in net sales.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfIncreaseInNetSales_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of Increase in Net Sales</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Customers.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customers Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowanceAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Allowance [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LnmpJpbcInvestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">LNMP JPBC Invest [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LnmpJpbcInvestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">LNMP JPBC Invest [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LnmpJpbcInvestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">LNMP JPBC Invest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskProcessForInformingManagementOrCommitteesResponsibleTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Process for Informing Management or Committees Responsible [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Private Placement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from Private Placement, net of issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPrivatePlacement_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds from private offerings, net of issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Events</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Tax credits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Tax Credit, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Effective Income Tax Rate Reconciliation, Tax Credit, Percent, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTaxCredits_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Tax credits</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-party Transactions</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_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">APIC, Share-Based Payment Arrangement, Increase for Cost Recognition, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RTWParticipationInPublicOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">R T W Participation in Public Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RTWParticipationInPublicOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">RTW participation in public offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RTWParticipationInPublicOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">RTW Participation in Public Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capitalized start-up and research and development expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Asset, In-Process Research and Development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in valuation allowances</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' deficit</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/terseLabel">Stockholders equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Par or Stated Value Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, par value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EarnOutSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Earn-Out shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EarnOutSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earn-Out Shares [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EarnOutSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earn-Out Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AverageObservedResidenceTimeForBalloon_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Average Observed Residence Time For Balloon</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AverageObservedResidenceTimeForBalloon_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Average observed residence time for balloon.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AverageObservedResidenceTimeForBalloon_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Average observed residence time for balloon</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BusinessCombinationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BusinessCombinationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BusinessCombinationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Combination Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Existence of Option to Extend [true false]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee, operating lease, right to extend [true false]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_MinimumLiquidityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Minimum liquidity amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_MinimumLiquidityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum Liquidity Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Stockholders' Equity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesCPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series C Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesCPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series C Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfCountriesGenerateRevenueBySales_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of countries generate revenue by sales</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfCountriesGenerateRevenueBySales_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Countries Generate Revenue By Sales</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfCountriesGenerateRevenueBySales_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of countries generate revenue by sales</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Tranche Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tranche Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChefPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">ChEF Purchase Agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChefPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ChEF Purchase Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChefPurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ChEF Purchase Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NewWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">New Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NewWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NewWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">New Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Approach and Technique [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Preferred Stock</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="alur_DebtInstrumentExitFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Exit Fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentExitFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument, exit fee.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentExitFee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exit fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ComputeHealthAcquisitionCorprationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Compute Health</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ComputeHealthAcquisitionCorprationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Compute Health Acquisition Corpration [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ComputeHealthAcquisitionCorprationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Compute Health Acquisition Corpration.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DefinedBenefitPlanDisclosureLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Defined Benefit Plan Disclosure [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OverAllotmentOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Underwriters</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OverAllotmentOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Over-Allotment Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leasehold Improvements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseholdImprovementsMember_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="us-gaap_SellingAndMarketingExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling and Marketing Expense [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingAndMarketingExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sales and Marketing</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomerBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Customer B.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomerBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer B [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomerBMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer B</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarliestTaxYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Earliest Tax Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarliestTaxYearMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earliest Tax Year [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFiveOfferingAndPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">February 2025 Offering and February 2025 Private Placement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFiveOfferingAndPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">February Two Thousand Twenty Five Offering and Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFiveOfferingAndPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">February Two Thousand Twenty Five Offering and Private Placement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_US_lbl" xlink:role="http://www.xbrl.org/2003/role/label">UNITED STATES</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_US_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">United States</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRemainingVestingRightsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based compensation arrangement by share-based payment award, award remaining vesting rights, percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRemainingVestingRightsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Award Remaining Vesting Rights, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRemainingVestingRightsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining vesting percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccruedLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Accrued Liabilities [Table Text Block]</link:label>
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          <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_NoncashInvestingAndFinancingItemsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncash Investing and Financing Items [Abstract]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputDiscountRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated Discount Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UnderwritingDiscounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Underwriting Discounts</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UnderwritingDiscounts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Underwriting discounts.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UnderwritingDiscounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Underwriting discounts</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtIssuanceCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtIssuanceCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Issuance Costs [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtIssuanceCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt issuance costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryCurrentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Current [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Individual Title and Position or Group Name [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandNineteenTermLoanAndSuccessFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand nineteen term loan and success fee.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandNineteenTermLoanAndSuccessFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Nineteen Term Loan and Success Fee [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandNineteenTermLoanAndSuccessFeeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2019 Term Loan and Success Fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue interest financing.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Interest Financing [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Interest Financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Cash - Revenue Interest Financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingOtherItemAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, Other Segment Item, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingOtherItemAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other segment items</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingOtherItemAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other segment items</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_ScheduleOfShareBasedPaymentAwardEmployeeStockPurchasePlanValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Payment Award, Employee Stock Purchase Plan, Valuation Assumptions [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardEmployeeStockPurchasePlanValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Assumptions Used in Black-Scholes Option Pricing Model</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardEmployeeStockPurchasePlanValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Schedule of Estimated Fair Value was Measured Using a Monte Carlo Simulation Method</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_InitialExerciseDateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Initial Exercise Date [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_InitialExerciseDateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Initial Exercise Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_InitialExerciseDateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial Exercise Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">All Entities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity [Domain]</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="cyd_CybersecurityRiskMateriallyAffectedOrReasonablyLikelyToMateriallyAffectRegistrantTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Materially Affected or Reasonably Likely to Materially Affect Registrant [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EachCountryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Each Country</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EachCountryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Each Country [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EachCountryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Each Country</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwentyThousandTwentyThreeRestructuringPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 Restructuring Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwentyThousandTwentyThreeRestructuringPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Twenty Thousand Twenty Three Restructuring Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwentyThousandTwentyThreeRestructuringPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Twenty thousand twenty three restructuring plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementExpertiseOfManagementResponsibleTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Expertise of Management Responsible [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants outstanding</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="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_TaxPeriodAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tax Period [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringPlanAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Plan [Axis]</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 and Nonrelated Parties [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Other Adjustments, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other adjustments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtFairValueDisclosures_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Debt, Fair Value Disclosures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleDebtFairValueDisclosures_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of the RTW Convertible Notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Policy [Policy Text Block]</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="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, City or Town</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_IT_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ITALY</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_IT_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Italy</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesNetOfInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional revenue interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesNetOfInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues, Net of Interest Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesNetOfInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Revenues, Net of Interest Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AdditionalRestructuringAndRelatedCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional restructuring and related costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AdditionalRestructuringAndRelatedCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional restructuring and related costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConvertibleNoteAgreementWithRtwMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Note Agreement with RTW [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConvertibleNoteAgreementWithRtwMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Convertible note agreement with RTW.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConvertibleNoteAgreementWithRtwMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Note Agreement with RTW</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="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Security Exchange Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtIssuanceCostsIncurredDuringNoncashOrPartialNoncashTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Issuance Costs Incurred During Noncash or Partial Noncash Transaction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtIssuanceCostsIncurredDuringNoncashOrPartialNoncashTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred financing costs in accounts payable and accrued expenses</link:label>
          <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="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total principal amounts of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total principal amount of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Principal balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_HunterVenturesLimitedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Hunter Ventures Limited.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_HunterVenturesLimitedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Hunter Ventures Limited [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_HunterVenturesLimitedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hunter Ventures Limited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Other Adjustments, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</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/periodEndLabel">Property, Plant and Equipment, Gross, Ending Balance</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/periodStartLabel">Property, Plant and Equipment, Gross, Beginning Balance</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/terseLabel">Property and equipment at cost</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">Property, Plant and Equipment, Gross, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJanuary272025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued at January 272025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJanuary272025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants issued at January 272025.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJanuary272025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 27, 2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAgreementAmendmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Interest Financing Agreement Amendment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAgreementAmendmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue interest financing agreement amendment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAgreementAmendmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">RIFA Amendment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentIncomeTaxExpenseBenefitContinuingOperationsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Income Tax Expense (Benefit), Continuing Operations [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentIncomeTaxExpenseBenefitContinuingOperationsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RepaymentOfPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment of principal</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RepaymentOfPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayment of principal</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="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Loss before income taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFiveOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">February 2025 Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFiveOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">February Two Thousand Twenty Five Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFiveOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">February two thousand twenty five offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfBalloons_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of balloons</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfBalloons_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Balloons</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfBalloons_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of balloons.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RTWConvertibleNotePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">RTW Convertible Note [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RTWConvertibleNotePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">RTW Convertible Note</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RTWConvertibleNotePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">RTW Convertible Notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueOfEstimatedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value of Estimated Number of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueOfEstimatedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value of Estimated Number of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueOfEstimatedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of estimated number of shares</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_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="alur_RevenueInterestFinancingLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Revenue Interest Financing Liability Noncurrent, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue interest financing liability noncurrent.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Interest Financing Liability Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-term Revenue Interest Financing liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Revenue Interest Financing liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RemittanceOfRevenueInterestPaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Remittance of revenue interest payments percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RemittanceOfRevenueInterestPaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Remittance of Revenue Interest Payments Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RemittanceOfRevenueInterestPaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remittance of revenue interest payments percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign tax effects: Other foreign jurisdictions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockOptionExercisePriceDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Option, Exercise Price, Decrease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockOptionExercisePriceDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduce the effective price</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, 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/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/totalLabel">Total Inventory</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/verboseLabel">Inventory reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RepaymentOfFortressTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment of Fortress Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RepaymentOfFortressTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayment of fortress term loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RepaymentOfFortressTermLoan_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment of Fortress Term Loan</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 Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation</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, Restricted Cash, and Restricted Cash Equivalents, Ending Balance</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, Restricted Cash, and Restricted Cash Equivalents, Beginning Balance</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">Cash and cash equivalents and restricted cash shown in the statement of cash flows</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 Activity</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">Cash paid for interest</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_FairValueByMeasurementBasisAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Basis [Axis]</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="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/verboseLabel">Warrants exercisable price</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">Weighted Average Exercise Price</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_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">Total stock-based compensation expense</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="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Axis]</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="dei_IcfrAuditorAttestationFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ICFR Auditor Attestation Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfCountriesInWhichEntityMarketsTheProgram_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of countries in which entity markets the program.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfCountriesInWhichEntityMarketsTheProgram_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Countries In Which Entity Markets the Program</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfCountriesInWhichEntityMarketsTheProgram_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of countries, currently markets the program</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Options, Exercisable</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="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">Restricted Stock Units</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/verboseLabel">Restricted Stock Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesByNatureOfContingencyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss Contingency Nature [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfConsecutiveTradingDay_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Consecutive Trading Day</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfConsecutiveTradingDay_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of consecutive trading day.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfConsecutiveTradingDay_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of consecutive trading day</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfCommonStockForExerciseOfWarrantsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for the exercise of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfCommonStockForExerciseOfWarrantsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Common Stock For Exercise Of Warrants, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfCommonStockForExerciseOfWarrantsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock for exercise of warrants amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_VanderbiltUniversityMedicalCenterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vanderbilt University Medical Center [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_VanderbiltUniversityMedicalCenterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Vanderbilt University Medical Center.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_VanderbiltUniversityMedicalCenterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vanderbilt</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 (as converted to common stock)</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">Redeemable Convertible Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingencyNatureDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss Contingency, Nature [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OutstandingOptionsToPurchaseCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Outstanding options to purchase common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OutstandingOptionsToPurchaseCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Outstanding Options To Purchase Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OutstandingOptionsToPurchaseCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding Options to Purchase Common Stock</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">Antidilutive Security, Excluded EPS Calculation [Table]</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_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Other comprehensive loss:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Parent [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other comprehensive income (loss):</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_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net deferred tax liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Net deferred tax liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwentyThousandTwentyFiveRestructuringPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Twenty Thousand Twenty Five Restructuring Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwentyThousandTwentyFiveRestructuringPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Twenty Thousand Twenty Five Restructuring Plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwentyThousandTwentyFiveRestructuringPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2025 Restructuring Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CompensationAndEmployeeBenefitPlansTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Employee Benefit Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CompensationAndEmployeeBenefitPlansTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Compensation and Employee Benefit Plans [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangesInFairValueOfRevenueInterestFinancingAndPipeConversionOption_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value of Revenue Interest Financing and PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangesInFairValueOfRevenueInterestFinancingAndPipeConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Changes In Fair Value Of Revenue Interest Financing And PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangesInFairValueOfRevenueInterestFinancingAndPipeConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Changes in fair value of revenue interest financing and PIPE conversion option.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangesInFairValueOfRevenueInterestFinancingAndPipeConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in fair value of Revenue Interest Financing and PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrivatePlacementWithRTWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private Placement with RTW</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrivatePlacementWithRTWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement with R T W [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrivatePlacementWithRTWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Private Placement with RTW.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementStrategyAndGovernanceLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management, Strategy, and Governance [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomerCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Customer C.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomerCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer C [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomerCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer C</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInEnactedTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationChangeInEnactedTaxRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effect of changes in tax laws or rates enacted in the current period</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/verboseLabel">Total 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/terseLabel">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/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_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_MeasurementInputExercisePriceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Exercise Price [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputExercisePriceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueOptionPricingModelMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Technique, Option Pricing Model [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueOptionPricingModelMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Black-Scholes Option Pricing Model</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityRepaymentOfDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityRepaymentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Repayment of Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityRepaymentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Repayment of Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityRepaymentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesAOnePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series A One Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesAOnePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A One Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesAOnePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A-1 Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredLiabilityForIssuanceOfAdditionalShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred liability for issuance of additional shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredLiabilityForIssuanceOfAdditionalShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Liability For Issuance Of Additional Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredLiabilityForIssuanceOfAdditionalShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred liability for issuance of additional shares.</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-Classified Forward Contracts</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConstructionInProgress_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction In Progress</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConstructionInProgress_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Construction in progress.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConstructionInProgress_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction in progress</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign tax effects: Other foreign jurisdictions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount</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_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash included in other long-term assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Restricted Cash, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsAssetStatementOfFinancialPositionExtensibleList_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash and Cash Equivalent, Statement of Financial Position [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ClinicalTrialsAndMedicalAffairsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Clinical Trials and Medical Affairs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ClinicalTrialsAndMedicalAffairsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Clinical Trials And Medical Affairs [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ClinicalTrialsAndMedicalAffairsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Clinical trials and medical affairs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NewAccountingPronouncementsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of New Accounting Pronouncements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NewAccountingPronouncementsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NewAccountingPronouncementsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">New accounting pronouncements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentExitPaymentPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument exit payment percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentExitPaymentPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Exit Payment Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentExitPaymentPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument exit payment percentage</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/totalLabel">Weighted Average Number of Shares Outstanding, Diluted, Total</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">Diluted weighted-average common stock outstanding</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 shares outstanding - Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RelatedPartyTransactionTerminationFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Termination fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RelatedPartyTransactionTerminationFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction Termination Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RelatedPartyTransactionTerminationFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Related party transaction termination fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Securities Act File Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity File Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketingAndAdvertisingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advertising and marketing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketingAndAdvertisingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Marketing and Advertising Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketingAndAdvertisingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Marketing and Advertising Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentMeasurementInputDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Discount Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentMeasurementInputDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Measurement Input Discount Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentMeasurementInputDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument measurement input discount rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingStandardsUpdate202307Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update 2023-07 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingStandardsUpdate202307Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ASU 2023-07</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cover</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="alur_ExpireBetweenTwoThousandThirtyAndTwoThousandThirtySevenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Expire between 2030 and 2037</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExpireBetweenTwoThousandThirtyAndTwoThousandThirtySevenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Expire Between Two Thousand Thirty And Two Thousand Thirty Seven [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExpireBetweenTwoThousandThirtyAndTwoThousandThirtySevenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Expire between two thousand thirty and two thousand thirty seven.</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="alur_ConsultingAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Consulting agreements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConsultingAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Consulting Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConsultingAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consulting Agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncreaseDecreaseInPercentageOfNumberOfSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in percentage of number of shares reserved for future issuance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncreaseDecreaseInPercentageOfNumberOfSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Percentage Of Number of Shares Reserved For Future Issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncreaseDecreaseInPercentageOfNumberOfSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase (decrease) in percentage of number of shares reserved for future issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_MezzanineEquityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mezzanine Equity [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_MezzanineEquityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mezzanine Equity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_MezzanineEquityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Mezzanine Equity</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of shares forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restricted stock units, cancelled</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Number of RSUs, Cancellations and forfeitures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeGainLossOnDerivativeNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Gain (Loss) on Derivative, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeGainLossOnDerivativeNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Gain recorded on derivative</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SummaryOfValuationAllowanceTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Valuation Allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SummaryOfValuationAllowanceTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Valuation Allowance [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtFebruary202025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued at February 20 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtFebruary202025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants issued at February 20, 2025.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtFebruary202025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">February 20, 2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesRevenueNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Benchmark [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesRevenueNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total Revenue</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="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">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/label">Number of Operating Segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExistingHoldersOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Existing Holders Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExistingHoldersOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Existing Holders Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExistingHoldersOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Existing Holders Option.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segment Information</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">General and Administrative Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_InterestPaidOnDebtRecordedAtFairValue_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Interest paid on debt recorded at fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_InterestPaidOnDebtRecordedAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid On Debt Recorded At Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_InterestPaidOnDebtRecordedAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest paid on debt recorded at fair value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesBPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series B Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesBPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series B Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsToPurchasePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants to purchase preferred stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsToPurchasePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants To Purchase Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsToPurchasePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants to Purchase Preferred Stock (as converted to warrants to purchase Common Stock)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsToPurchasePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrants to Purchase Preferred Stock (as converted to warrants to purchase common stock)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomersDMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Customers D.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomersDMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customers D [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomersDMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer D</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryWarrantRepricingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Warrant Repricing [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryWarrantRepricingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January warrant repricing.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryWarrantRepricingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January Warrant Repricing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressCreditAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fortress credit agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressCreditAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fortress Credit Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressCreditAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fortress Credit Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressCreditAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Cash - Fortress Credit Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Contingent Consideration, Liability, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earn-out liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer, Including Assessed Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PreferredStockLiquidationPreferenceBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock liquidation preference</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PreferredStockLiquidationPreferenceBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock Liquidation Preference Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PreferredStockLiquidationPreferenceBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Preferred stock liquidation preference basis.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other temporary differences</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxLiabilitiesConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities Convertible Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxLiabilitiesConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax liabilities convertible debt.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxLiabilitiesConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxLiabilitiesConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Convertible debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfPipeConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfPipeConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Exercise Of Pipe Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfPipeConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value measurement with unobservable inputs reconciliation, recurring basis liability, exercise of pipe conversion option.</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">Estimated share price at conversion</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/verboseLabel">Initial conversion price per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ComponentsOfRevenueInterestFinancingTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Components of revenue interest financing.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ComponentsOfRevenueInterestFinancingTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Components Of Revenue Interest Financing [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ComponentsOfRevenueInterestFinancingTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Components of Revenue Interest Financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Loss on extinguishment of debt/ term loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">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/terseLabel">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/verboseLabel">Debt prepayment penalty</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_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="dei_DocumentFinStmtRestatementRecoveryAnalysisFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Financial Statement Restatement Recovery Analysis [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restructuring charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Restructuring Charges, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment, Useful Life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLife_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated Useful Life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recently Adopted Accounting Pronouncements and Recently Issued Accounting Pronouncements Not Yet Adopted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements, Policy [Policy 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/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 Commitments Under Non-cancelable Operating Lease Agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SuccessFeeDerivativeLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Success Fee Derivative Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SuccessFeeDerivativeLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Success Fee Derivative Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SuccessFeeDerivativeLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Success Fee Derivative Liability</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_ScheduleOfSharebasedCompensationRestrictedStockAndRestrictedStockUnitsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Restricted Stock Unit Activity Under the Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSharebasedCompensationRestrictedStockAndRestrictedStockUnitsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Restricted Stock and Restricted Stock Unit, Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of convertible preferred stock for the exercise of warrant (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Conversion of Convertible Securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Outstanding public warrants to purchase</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-taxable or Non-deductible items: Other</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">Vesting period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfRevenueInterestFinancingThroughOci_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Change in fair value of Revenue Interest Financing through other comprehensive income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfRevenueInterestFinancingThroughOci_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of Revenue Interest Financing through OCI</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfRevenueInterestFinancingThroughOci_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change In Fair Value Of Revenue Interest Financing Through OCI</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfRevenueInterestFinancingThroughOci_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change in fair value of revenue interest financing through OCI</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StructuringFeePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Structuring fee payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StructuringFeePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Structuring Fee Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StructuringFeePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Structuring fee payable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Continuing Operations before Income Taxes, Domestic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxExpenseBenefitContinuingOperationsIncomeTaxReconciliationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Expense (Benefit), Effective Income Tax Rate Reconciliation, Amount [Abstract]</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/verboseLabel">Depreciation and amortization expense</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/terseLabel">Depreciation expense</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">Depreciation, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CarryingReportedAmountFairValueDisclosureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reported Value Measurement [Member]</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">Number of shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Total shares of Common Stock immediately after Business Combination</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/terseLabel">Common stock, shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total shares of common stock immediately after Business Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SurrenderCommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Surrender Common Stock Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SurrenderCommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Surrender common stock value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SurrenderCommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Surrender common stock value</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">Current portion of 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/2009/role/negatedLabel">Less: current lease liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Processes Integrated [Flag]</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="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Transition Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net deferred tax asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsLiabilitiesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total operating expenses:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and Development Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Research and development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ResearchAndDevelopmentExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Research and Development Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cost of revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cost of Revenue, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeasesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Leases Included in Consolidated Balance Sheet</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeasesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Leases [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Convertible Preferred Stock (as converted to common stock)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfActivityInRestructuringAccrualTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of activity in restructuring accrual.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfActivityInRestructuringAccrualTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Activity in Restructuring Accrual [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfActivityInRestructuringAccrualTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Activity in Restructuring Accrual</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Components of Provision for Income Taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfComponentsOfIncomeTaxExpenseBenefitTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Components of Income Tax Expense (Benefit) [Table Text Block]</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="alur_AgreementsTerminationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Agreements termination date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AgreementsTerminationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Agreements Termination Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AgreementsTerminationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Agreements termination date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, New Issues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Issuance of common stock from equity line financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Option, Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Option Activity Under the Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDueCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2022</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDueCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases, Future Minimum Payments Due, Next 12 Months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-Based Payment Arrangement, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-taxable or Non-deductible items: Share-based payment awards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capital Stock and Stockholders' Deficit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJune192018Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued At June 192018.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJune192018Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued At June 192018 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJune192018Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">June 19, 2018</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandAndTwentyThreeEmployeeStockPurchasePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 ESPP</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandAndTwentyThreeEmployeeStockPurchasePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand and Twenty Three Employee Stock Purchase Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TwoThousandAndTwentyThreeEmployeeStockPurchasePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand and twenty three employee stock purchase plan.</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicShareWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Share Warrants Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicShareWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public share warrants issued.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicShareWarrantsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public share warrants issued</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other deferred tax liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilitiesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementProcessesIntegratedTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Processes Integrated [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockConsiderationReceivedPerTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Consideration Received Per Transaction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockConsiderationReceivedPerTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amount received on shares sold per unit</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/2009/role/negatedLabel">Net losses</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 income (loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Intrinsic Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate Intrinsic Value, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryWriteDown_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for inventory</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryWriteDown_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory Write-down</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/2003/role/totalLabel">Increase (Decrease) in Inventories, Total</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="us-gaap_InventoryLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfRoyaltyRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of royalty rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfRoyaltyRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of royalty rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingChangesAndErrorCorrectionsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Changes and Error Corrections [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFivePrivatePlacementWithRTWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 2025 Private Placement with RTW</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFivePrivatePlacementWithRTWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Two Thousand Twenty Five Private Placement With RTW [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFivePrivatePlacementWithRTWMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January two thousand twenty five private placement with rtw.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfNetSales_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Net Sales</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfNetSales_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of net sales.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfNetSales_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Percentage of net sales</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NatickAndHudsonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Natick and hudson member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NatickAndHudsonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Natick and Hudson [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NatickAndHudsonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Natick and Hudson</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPreferredStockCash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends, Preferred Stock, Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPreferredStockCash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends declared</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/label">Operating Lease, Cost</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 costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants and Rights Outstanding, Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining Contractual Term (in years)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstandingTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrants term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NonCashInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Noncash interest expense.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NonCashInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncash Interest Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NonCashInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash interest expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionSeriesD1PreferredStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legacy Allurion Series D-1 Preferred Stock Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionSeriesD1PreferredStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Legacy Allurion series D-1 preferred stock warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionSeriesD1PreferredStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Allurion Series D-1 Preferred Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueOfEstimatedPriceOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value of Estimated Price of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueOfEstimatedPriceOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value of Estimated Price of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueOfEstimatedPriceOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of estimated price of shares</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk-free interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest Rate</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_InducementLetterWithExercisingHoldersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Inducement Letter with Exercising Holders</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesCommonStockForConversionOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of shares common stock for conversion of convertible notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Abstract]</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="us-gaap_MeasurementInputSharePriceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Share Price [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputSharePriceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated Fair Value of Underlying Share Price</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="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/totalLabel">Net loss attributable to common shareholders</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExpectedMarketCapitalizationValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Expected Market Capitalization Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExpectedMarketCapitalizationValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Expected market capitalization value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExpectedMarketCapitalizationValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected market capitalization value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StandardProductWarrantyPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Product Warranty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StandardProductWarrantyPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Standard Product Warranty, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicOfferingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Offering Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicOfferingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public Offering Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicOfferingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Offering Warrants</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">Loan</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="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="alur_WarrantsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants [Policy Text Block]</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="alur_DeferredTaxAssetsOperatingLossCarryForwardExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net operating loss carryforwards expiration period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxAssetsOperatingLossCarryForwardExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets Operating Loss Carry Forward Expiration Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DeferredTaxAssetsOperatingLossCarryForwardExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred tax assets operating loss carry forward expiration period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized compensation costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Assets, Fair Value Disclosure, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseMarkToMarket_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-taxable or Non-deductible items: Mark to market</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseMarkToMarket_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Mark to Market</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseMarkToMarket_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Effective income tax rate reconciliation, nondeductible expense, mark to market.</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 preferred stock in connection with Private Placement, net of issuance costs</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_DerivativesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivatives, Policy [Policy Text Block]</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_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="alur_WarrantExpirationOnAnniversaryPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Expiration On Anniversary Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantExpirationOnAnniversaryPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrant expiration on anniversary period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantExpirationOnAnniversaryPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant expire on anniversary period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExerciseOfPIPEConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exercise Of P I P E Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExerciseOfPIPEConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Exercise of PIPE conversion option.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExerciseOfPIPEConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issue-date estimated fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Debt Instrument, Fair Value Disclosure, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockOptionPlan2020StockOptionPlanAnd2023StockOptionPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2010 Plan, 2020 Plan, and 2023 Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockOptionPlan2020StockOptionPlanAnd2023StockOptionPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">2010 Stock Option Plan, 2020 Stock Option Plan And 2023 Stock Option Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockOptionPlan2020StockOptionPlanAnd2023StockOptionPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">2010 Stock Option Plan, 2020 Stock Option Plan And 2023 Stock Option Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncomeTaxReconciliationNondeductibleExpenseMarkToMarket_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-taxable or Non-deductible items: Mark to market</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncomeTaxReconciliationNondeductibleExpenseMarkToMarket_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation, Nondeductible Expense, Mark to Market</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncomeTaxReconciliationNondeductibleExpenseMarkToMarket_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Income tax reconciliation, nondeductible expense, mark to market.</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">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Private Placement Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BusinessCombinationCommonStockExchangeRatio_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination common stock exchange ratio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BusinessCombinationCommonStockExchangeRatio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Common Stock Exchange Ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BusinessCombinationCommonStockExchangeRatio_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exchange ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinanceLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Finance leases, weighted -average remaining lease term (in years)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinanceLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finance Lease, Weighted Average Remaining Lease Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Cumulative undeclared dividends to participating securities (Legacy Series D convertible preferred stock)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cumulative undeclared dividends to participating securities (Series D convertible preferred stock)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Undistributed Earnings (Loss) Allocated to Participating Securities, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Undistributed Earnings (Loss) Allocated to Participating Securities, Basic, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Cumulative undeclared preferred dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title of 12(b) Security</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of 12(b) Security</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-Based Payment Arrangement, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-taxable or Non-deductible items: Share-based payment awards</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Exercise Price, Cancellations and forfeitures</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Grant Date Fair Value, Cancellations and forfeitures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MoneyMarketFundsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Money Market Funds [Member]</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 and Nonrelated Parties [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AllOtherCountriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">All Other Countries</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AllOtherCountriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">All Other Countries [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AllOtherCountriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">All Other Countries</link:label>
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          <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 liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringPlanDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Plan [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CommitmentSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitment Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CommitmentSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitment Shares Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CommitmentSharesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Commitment Shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LegalEntityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legal Entity:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LegalEntityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legal Entity [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Increase (Decrease) in Operating Capital [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in operating assets and liabilities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFiveOfferingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">February Two Thousand Twenty Five Offering Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFiveOfferingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">February two thousand twenty five offering warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryTwoThousandTwentyFiveOfferingWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">February 2025 Offering Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Property and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Weighted-Average Exercise Price, Ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Weighted-Average Exercise Price, Beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrepaymentFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepayment fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PrepaymentFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Prepayment fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases, Future Minimum Payments Due, Fiscal Year Maturity [Abstract]</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="alur_IssuanceOfValueCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Value Common Stock in Connection With Public Offering, Net of Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfValueCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of value common stock in connection with public offering, net of issuance costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfValueCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of value common stock in connection with public offering, net of issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Recurring and Nonrecurring [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesAndOtherLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities and Other Liabilities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RestructuringChargesAndRelatedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restructuring charges and related costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RestructuringChargesAndRelatedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring charges and Related Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RestructuringChargesAndRelatedCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Restructuring charges and Related Cost.</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 [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 Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Uncertain tax positions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Uncertain tax positions for which reserves would be required</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Unrecognized Tax Benefits, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Unrecognized Tax Benefits, Beginning Balance</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accrued Liabilities and Other Operating Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses and other current liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryGrossAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Gross [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryGrossAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangesInFairValueOfRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Losses in fair value of revenue interest financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangesInFairValueOfRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Changes In Fair Value Of Revenue Interest Financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangesInFairValueOfRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Changes in fair value of revenue interest financing.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangesInFairValueOfRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gain (loss) in fair value of revenue interest financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangesInFairValueOfRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loss in fair value of revenue interest financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementFrequencyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJune042022Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued At June 042022.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJune042022Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued At June 042022 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJune042022Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">June 4, 2022</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">Statement of Income Location, Balance [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsOrChangeInAccountingPrincipleLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements or Change in Accounting Principle [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesValueCommonStockForConversionOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock for the conversion of convertible notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesValueCommonStockForConversionOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Shares Value Common Stock for Conversion of Convertible Notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesValueCommonStockForConversionOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of shares value common stock for conversion of convertible notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingPrincipleAccountingStandardsUpdateAdoptionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Accounting Principle, Accounting Standards Update, Adoption Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingPrincipleAccountingStandardsUpdateAdoptionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in accounting principle accounting standards update adoption date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trading Symbol</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="alur_WarrantsIssuedAtSeptember152022Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued At September 152022.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtSeptember152022Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued At September 152022 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtSeptember152022Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">September 15, 2022</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentDisclosureTextBlock_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_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-deductible expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Effective Income Tax Rate Reconciliation, Nondeductible Expense, Percent, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PubcoAdditionalSharesLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">PubCo additional shares liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PubcoAdditionalSharesLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">PubCo Additional Shares Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PubcoAdditionalSharesLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PubCo Additional Shares Liability</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="alur_WarrantsIssuedAtJanuary172017Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued At January 172017.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJanuary172017Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued At January 172017 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJanuary172017Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 17, 2017</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryPublicOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Public Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryPublicOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January public offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryPublicOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January Public Offering</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">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [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>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChardanEquityFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Chardan Equity Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChardanEquityFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Chardan Equity Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChardanEquityFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Chardan Equity Facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected term (in years)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Expected Life (Years)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsRecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Recurring [Member]</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="alur_FeesAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fees and Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FeesAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fees and expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FeesAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fees and expenses</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 lease payments</link:label>
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          <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/2009/role/negatedLabel">Less: present value adjustment</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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario Plan Four [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Scenario plan four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsResearch_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Tax credits: Research and development tax credits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationTaxCreditsResearch_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Tax Credit, Research, Percent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockIssuedDuringPeriodSharesExerciseOfPIPEConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Exercise of PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockIssuedDuringPeriodSharesExerciseOfPIPEConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock issued during period shares exercise of PIPE conversion option.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockIssuedDuringPeriodSharesExerciseOfPIPEConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of PIPE Conversion Option (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingAndMarketingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling and Marketing Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingAndMarketingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sales and marketing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingAndMarketingExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Selling and Marketing Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExchangeAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exchange Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ExchangeAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Exchange Agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SecondAmendmentToNotePurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Second Amendment to Note Purchase Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SecondAmendmentToNotePurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Second amendment to note purchase agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SecondAmendmentToNotePurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Second Amendment to Note Purchase Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SecondAmendmentToNotePurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Second Amendment to Note Purchase Agreement</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="us-gaap_StatementEquityComponentsAxis_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="alur_UnrestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrestricted Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UnrestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unrestricted cash.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_UnrestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrestricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases, Future Minimum Payments, Due in Two Years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonoperating Income (Expense)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total other income:</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="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Component</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByAssetClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Class [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Future Minimum Annual Lease Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Future Minimum Rental Payments for Operating Leases [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProceedsFromOptionAndWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from option and warrant exercises.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProceedsFromOptionAndWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Option and Warrant Exercises</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProceedsFromOptionAndWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from option and warrant exercises</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentAnnualReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Annual Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Shares Common Stock in Connection with RTW Private Placement, Net of Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of shares common stock in connection with RTW private placement, net of issuance costs,</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with RTW Private Placement, net of issuance costs, Shares</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 Combination [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RedeemablePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redeemable Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RedeemablePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redeemable Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RemusGroupManagementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Remus Group Management.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RemusGroupManagementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Remus Group Management [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RemusGroupManagementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remus Group Management</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</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="alur_PercentageOfBeneficiallyOwnNumberOfSharesOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Beneficially Own Number of Shares of Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfBeneficiallyOwnNumberOfSharesOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of beneficially own number of shares of common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfBeneficiallyOwnNumberOfSharesOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of beneficially own number of shares of common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MachineryAndEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Machinery and Equipment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MachineryAndEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Machinery and equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PaymentsOfAdvisoryServicesRelatedToBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payments of advisory services related to business combination.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PaymentsOfAdvisoryServicesRelatedToBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Advisory Services Related to Business Combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PaymentsOfAdvisoryServicesRelatedToBusinessCombination_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments of advisory services related to business combination</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MajorCustomersAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardExpirationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expiration period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestructuringIncurredCostStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Charges, Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Depreciation, Depletion and Amortization, Nonproduction, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Depreciation and amortization expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total depreciation and amortization expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation and amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FiveCountriesIncludedWithinAllOtherCountriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Five countries included within all other countries</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FiveCountriesIncludedWithinAllOtherCountriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Five Countries Included Within All Other Countries [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FiveCountriesIncludedWithinAllOtherCountriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Five Countries Included Within All Other Countries</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAndPipeConversionOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue Interest Financing And Pipe Conversion Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAndPipeConversionOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Interest Financing And Pipe Conversion Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAndPipeConversionOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Interest Financing and PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockVotingRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Voting Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockVotingRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock voting rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Comprehensive Income [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PIPEConversionOptionOfForfeitedShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">PIPE Conversion Option Of Forfeited shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PIPEConversionOptionOfForfeitedShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pipe conversion option of forfeited shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PIPEConversionOptionOfForfeitedShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PIPE Conversion Option Of Forfeited Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesDOnePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series D One Preferred Stock Member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesDOnePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series D One Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesDOnePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series D-1 Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionSeriesCPreferredStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legacy Allurion Series C Preferred Stock Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionSeriesCPreferredStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Legacy Allurion series C preferred stock warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LegacyAllurionSeriesCPreferredStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Allurion Series C Preferred Stock Warrants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfOutstandingCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of Outstanding Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfOutstandingCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Outstanding Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfOutstandingCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of outstanding common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LatestTaxYearTwoThousandFortyTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Latest Tax Year</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_LatestTaxYearTwoThousandFortyTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Latest tax year two thousand forty two.</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/terseLabel">Maximum</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockOptionPlan2020StockOptionPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">2010 Stock Option Plan, 2020 Stock Option Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalConvertibleDebtWithConversionFeature_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Convertible Debt with Conversion Feature</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalConvertibleDebtWithConversionFeature_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate recognition APIC amount</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total Liabilities</link:label>
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          <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_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Exercises in Period, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Exercise Price, Exercised</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesBConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series B Convertible Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesBConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series B Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesBConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series B convertible preferred stock.</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</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, $0.0001 par value -</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, $0.0001 par value - 1,000,000,000 shares authorized as of December 31, 2025; 12,279,181 and 2,710,607 shares issued and outstanding as of December 31, 2025 and 2024, respectively</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BackstopAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Backstop Agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BackstopAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Backstop Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BackstopAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Backstop Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_QualityAndRegulatoryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Quality and Regulatory</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_QualityAndRegulatoryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Quality and Regulatory [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_QualityAndRegulatoryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Quality and regulatory.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConvertibleNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes (as Converted to Common Stock)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConvertibleNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Convertible Notes (as Converted to Common Stock)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConvertibleNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Convertible notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConvertibleNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Convertible Notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for Other Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public warrant liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants and Rights Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantsAndRightsOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrant liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public Warrant</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Warrant [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicWarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public warrant.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EarnoutLiabilityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earn-out Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EarnoutLiabilityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnout Liability [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EarnoutLiabilityPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for earnout liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Notes Payable, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConvertibleNotesPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current portion of convertible notes payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicShareWarrantsExercisableBeforeReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Public Share Warrants Exercisable Before Reverse Stock Split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicShareWarrantsExercisableBeforeReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Public share warrants exercisable before reverse stock split.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PublicShareWarrantsExercisableBeforeReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Public share warrants exercisable before reverse stock split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S. federal and state net operating loss carryforwards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net operating loss carryforwards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Operating Loss Carryforwards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Tax Assets, Operating Loss Carryforwards, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cyd_CybersecurityRiskManagementProcessesForAssessingIdentifyingAndManagingThreatsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cybersecurity Risk Management Processes for Assessing, Identifying, and Managing Threats [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ImpairmentOrDisposalOfLongLivedAssetsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Impairment of Long-Lived Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ImpairmentOrDisposalOfLongLivedAssetsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Impairment or Disposal of Long-Lived Assets, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">State income taxes, net of federal income tax benefit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateReconciliationStateAndLocalIncomeTaxes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Percent</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">Debt issuance costs associated with debt recorded at fair value</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="alur_BasePubcoAndBackstopShareLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Base PubCo and Backstop Share Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BasePubcoAndBackstopShareLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Base PubCo and Backstop Share Liability [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BasePubcoAndBackstopShareLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Base PubCo and Backstop Share Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of common stock, shares, outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Common Stock, Shares, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of common stock, shares, outstanding.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityPublicFloat_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Public Float</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Volatility Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected volatility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Expected Volatility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, shares authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Preferred Stock Authorized</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">Accrued interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInUnrealizedGainLossOnFairValueHedgingInstruments1_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value of derivative liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInUnrealizedGainLossOnFairValueHedgingInstruments1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Unrealized Gain (Loss) on Fair Value Hedging Instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDebtTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Debt [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDebtTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Components of Third-Party Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConversionDividedByCappedConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion divided by capped conversion price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConversionDividedByCappedConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Divided By Capped Conversion Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConversionDividedByCappedConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion divided by capped conversion price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Convertible Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment of convertible debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfConvertibleDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment of convertible notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_FR_lbl" xlink:role="http://www.xbrl.org/2003/role/label">FRANCE</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_FR_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">France</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer [Text Block]</link:label>
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          <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="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Registrant Name</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="alur_IssuanceOfCommonStockToConultants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Common Stock To Conultants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfCommonStockToConultants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock to conultants</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityVoluntaryFilers_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Voluntary Filers</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CustomerConcentrationRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer Concentration Risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CustomerConcentrationRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer Concentration Risk [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ComputersAndPurchasedSoftwareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Computers and Purchased Software Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ComputersAndPurchasedSoftwareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Computers and Purchased Software Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ComputersAndPurchasedSoftwareMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Computers and purchased software</link:label>
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          <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/terseLabel">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/2003/role/verboseLabel">Income tax expense</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">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/2003/role/totalLabel">Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Scenario plan one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario Plan One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScenarioPlanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">December 31, 2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Description</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/terseLabel">Aggregate net proceeds</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>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncreaseDecreaseInRevenuesForCustomerReturns_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Revenues for Customer Returns</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncreaseDecreaseInRevenuesForCustomerReturns_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase (decrease) in revenues for customer returns.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IncreaseDecreaseInRevenuesForCustomerReturns_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduction to revenues of customer returns</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]</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="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Assumptions used in Pricing Model</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfWarrantLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of warrant liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfWarrantLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Fair Value of Warrant Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ChangeInFairValueOfWarrantLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Change in fair value of warrant liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NonCashLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash lease expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NonCashLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non-Cash Lease Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NonCashLeaseExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non-cash lease expense.</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="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Common Stock, Shares Outstanding</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">Risk of Concentration of Credit, Significant Customers and Significant Suppliers</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRemainingLeaseTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Remaining Lease Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseRemainingLeaseTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee, operating lease, remaining lease term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByLiabilityClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liability Class [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NotePurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Note Purchase Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NotePurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Note purchase agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NotePurchaseAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Note Purchase Agreement</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/totalLabel">Accumulated Other Comprehensive Income (Loss), Net of Tax, Total</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 gain (loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Uncollectible accounts written off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForDoubtfulAccountsReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, Allowance for Credit Loss, Writeoff</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TemporaryEquityStockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity, Stock Issued During Period, Shares, New Issues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TemporaryEquityStockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Temporary Equity, Stock Issued During Period, Shares, New Issues.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TemporaryEquityStockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of preferred stock in connection with Private Placement, net of issuance costs (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRestructuring_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments for restructuring</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRestructuring_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for Restructuring</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/2003/role/totalLabel">Payments to Acquire Property, Plant, and Equipment, Total</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="alur_FebruaryPublicOfferingAndLeavittPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">February Public Offering and Leavitt Private Placement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryPublicOfferingAndLeavittPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">February public offering and leavitt private placement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FebruaryPublicOfferingAndLeavittPrivatePlacementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">February Public Offering and Leavitt Private Placement</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">Number of RSUs, 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">Restricted stock units, granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressAmendmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fortress Amendment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressAmendmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fortress Amendment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressAmendmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fortress Amendment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BenoitChardonConsultingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Benoit Chardon Consulting (BCC).</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BenoitChardonConsultingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Benoit Chardon Consulting [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_BenoitChardonConsultingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Benoit Chardon Consulting</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/verboseLabel">Total 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/terseLabel">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/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_InventoryPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventories</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant and Equipment [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Remaining Contractual Term, Exercisable</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="us-gaap_ScheduleOfRestructuringAndRelatedCostsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restructuring Cost [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationOptionAndIncentivePlansPolicy_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_ShareBasedCompensationOptionAndIncentivePlansPolicy_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfPreferredStockRedeemableShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of preferred stock redeemable shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfPreferredStockRedeemableShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of outstanding shares of redeemable</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">Total Deferred</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="alur_IssuanceOfSharesCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Shares Common Stock in Connection with Public Offering, Net Of Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of shares common stock in connection with public offering, net of issuance costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfSharesCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of shares common stock in connection with public offering, net of issuance costs ( in shares)</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares sold per unit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Number of Shares Issued in Transaction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Sale of stock</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">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">Shares issued</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">Issuance of common stock from equity line financing (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConversionDividedByDiscountedCappedConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion divided by discounted capped conversion price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConversionDividedByDiscountedCappedConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Divided By Discounted Capped Conversion Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ConversionDividedByDiscountedCappedConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion divided by discounted capped conversion price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restricted stock units, vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Number of RSUs, Vested</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 Combination [Abstract]</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 income (loss) per share - Diluted</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Earnings Per Share, Diluted, Total</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">Net loss per share - Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Significant Segment Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Segment Reporting Information, by Segment [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_KkgEnterprisesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">KKG Enterprises.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_KkgEnterprisesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">KKG Enterprises [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_KkgEnterprisesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">KKG Enterprises</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperationsTaxRateReconciliationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Percent [Abstract]</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="alur_IssuanceOfCommonStockToConultantsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Common Stock To Conultants Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfCommonStockToConultantsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Issuance of common stock to conultants amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IssuanceOfCommonStockToConultantsAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to consultants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockConversionBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Conversion Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockConversionBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock conversion rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentConvertiblePriceForCalculatingEquitySecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument, convertible price for calculating equity securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentConvertiblePriceForCalculatingEquitySecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Convertible Price For Calculating Equity Securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DebtInstrumentConvertiblePriceForCalculatingEquitySecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument, convertible price for calculating equity securities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentUsefulLifeDescriptionOfTermExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment, Useful Life, Term, Description [Extensible Enumeration]</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="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">City Area Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIssuedPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIssuedPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Prepaid principal amount outstanding debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIssuedPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Issued, Principal</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJune252019Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued At June 252019.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJune252019Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued At June 252019 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtJune252019Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">June 25, 2019</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fortress term loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fortress Term Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FortressTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fortress Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFeeAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt fee amount incurred</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentFeeAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Fee Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestPaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue interest payments percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestPaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Interest Payments Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestPaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue interest payments percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Lines of Credit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial cash proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Proceeds from Lines of Credit, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfCountriesGenerateRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of countries generate revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfCountriesGenerateRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Countries Generate Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_NumberOfCountriesGenerateRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of countries generate revenue</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/verboseLabel">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/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">Principal amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AccruedClinicalTrialsAndResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued clinical trials and R&amp;D</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AccruedClinicalTrialsAndResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Clinical Trials And Research And Development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AccruedClinicalTrialsAndResearchAndDevelopment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued clinical trials and research and development</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RoyaltyPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Royalty Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RoyaltyPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Royalty payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RoyaltyPayments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: Royalty payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RoyaltyPayments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Royalty payments.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesA1ConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A-1 Convertible Preferred Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesA1ConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A-1 Convertible Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesA1ConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series A-1 convertible preferred stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDefinedBenefitPlansDisclosuresTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Defined Benefit Plan [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesDThreePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series D Three Preferred Stock Member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesDThreePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series D Three Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_SeriesDThreePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series D-3 Preferred Stock</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="us-gaap_IncomeTaxReconciliationTaxCreditsResearch_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation, Tax Credit, Research, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxReconciliationTaxCreditsResearch_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Tax credits: Research and development tax credits</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 operating lease costs</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_OperatingLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Operating leases, weighted -average remaining lease term (in years)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Weighted Average Remaining Lease Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease, weighted average remaining lease term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueRecurringBasisUnobservableInputReconciliationLiabilityGainLossStatementOfIncomeExtensibleList_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liability, Recurring Basis, Unobservable Input Reconciliation, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting Information [Line Items]</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/terseLabel">Reverse stock split ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with vesting of RSU awards (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Restricted Stock Award, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeFairValueOfDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of term loan derivative liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeFairValueOfDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability, Subject to Master Netting Arrangement, before Offset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockIssuedDuringPeriodValueExerciseOfPIPEConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Exercise Of PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockIssuedDuringPeriodValueExerciseOfPIPEConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock issued during period value exercise of PIPE conversion option.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_StockIssuedDuringPeriodValueExerciseOfPIPEConversionOption_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtAugust032017Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued At August 032017.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtAugust032017Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued At August 032017 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtAugust032017Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">August 3, 2017</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_OperatingLeasesFutureMinimumPaymentsDueInFiveYears_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_OperatingLeasesFutureMinimumPaymentsDueInFiveYears_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases, Future Minimum Payments, Due in Five Years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IntellectualPropertyProsecutionCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Intellectual Property Prosecution Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IntellectualPropertyProsecutionCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intellectual Property Prosecution Costs [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_IntellectualPropertyProsecutionCostsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Intellectual property prosecution costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredForeignIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Foreign Income Tax Expense (Benefit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredForeignIncomeTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Including Discontinued Operation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash and cash equivalents and restricted cash at end of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash and cash equivalents and restricted cash at beginning of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Including Disposal Group and Discontinued Operations, Total</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="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Losses from operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityDerecognitionOfLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Derecognition of liability to equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityDerecognitionOfLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Derecognition of Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityDerecognitionOfLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Derecognition of Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityDerecognitionOfLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derecognition of liability</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfDepreciationExpenseTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of Depreciation Expense [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfDepreciationExpenseTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Depreciation Expense [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ScheduleOfDepreciationExpenseTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Depreciation Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProceedsFromRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from revenue interest financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProceedsFromRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds from revenue interest financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProceedsFromRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The cash inflow from revenue interest financing.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ProceedsFromRevenueInterestFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Revenue Interest Financing</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_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Share-Based Payment Arrangement, Noncash Expense, Total</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/verboseLabel">Stock compensation expense</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</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Stock Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Offering cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OnOctober12024AndThereafterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">On October 1, 2024 and Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OnOctober12024AndThereafterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">On October 1, 2024 and Thereafter [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_OnOctober12024AndThereafterMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">On October 1, 2024 and Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StandardProductWarrantyAccrualCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Standard Product Warranty Accrual, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StandardProductWarrantyAccrualCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued warranty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShippingAndHandlingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shipping and Logistics</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShippingAndHandlingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shipping and Handling [Member]</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/verboseLabel">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="us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liability, weighted average discount rate, percent</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">Lease liabilities, net of 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">Long-term lease liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 1</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_DisclosureTextBlockAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disclosure Text Block [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureTextBlockAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes to Financial Statements</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">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation</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="alur_AccruedRestructuringCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued restructuring</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AccruedRestructuringCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Restructuring Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AccruedRestructuringCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued restructuring current.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AccruedRestructuringCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Accrual, beginning</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AccruedRestructuringCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Accrual, ending</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingPrincipleAccountingStandardsUpdateAdopted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Accounting Principle, Accounting Standards Update, Adopted [true false]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ChangeInAccountingPrincipleAccountingStandardsUpdateAdopted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in accounting principle accounting standards update adopted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorLocation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Location</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenuesInterestFinancingLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenues interest financing liability.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenuesInterestFinancingLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues Interest Financing Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenuesInterestFinancingLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenues interest financing liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAndPipeConversionOptionPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Interest Financing and PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAndPipeConversionOptionPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Interest Financing and PIPE Conversion Option [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_RevenueInterestFinancingAndPipeConversionOptionPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Disclosure of accounting policy for revenue interest financing and pipe conversion option.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TerminationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Termination Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TerminationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Termination Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_TerminationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Termination agreement [member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfGrossProceedsFromTheExerciseOfTheExistingWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Gross Proceeds from the Exercise of the Existing Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfGrossProceedsFromTheExerciseOfTheExistingWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of gross proceeds from the exercise of the existing warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfGrossProceedsFromTheExerciseOfTheExistingWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of gross proceeds from the exercise of the existing warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PIPEConversionOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PIPE Conversion Option (Restated)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PIPEConversionOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">PIPE Conversion option.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PIPEConversionOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">P I P E Conversion Option [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PIPEConversionOptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">PIPE Conversion Option</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityConversionOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement With Unobservable Inputs Reconciliation, Recurring Basis Liability, Conversion of Convertible Notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityConversionOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value measurement with unobservable inputs reconciliation, recurring basis liability, conversion of convertible notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityConversionOfConvertibleNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of convertible notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityNoteWarrantsOrRightsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Stockholders' Equity Note, Warrants or Rights [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityNoteWarrantsOrRightsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Warrants to Purchase the Classes of Preferred Stock and Common Stock Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other income (expense):</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nonoperating Income (Expense) [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtNovember112025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">November 11, 2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtNovember112025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued at November 11 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtNovember112025Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued at November 11 2025.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossFinancialLiabilityFairValueOptionAfterTaxAndReclassificationAdjustmentAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value of revenue interest financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossFinancialLiabilityFairValueOptionAfterTaxAndReclassificationAdjustmentAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Financial Liability, Fair Value Option, after Tax and Reclassification Adjustment, Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossFinancialLiabilityFairValueOptionAfterTaxAndReclassificationAdjustmentAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Change in fair value due to change in credit risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossFinancialLiabilityFairValueOptionAfterTaxAndReclassificationAdjustmentAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of revenue interest financing</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">Summary of Dilutive Securities Excluded from Computation of Basic and Diluted Net Loss Per Common Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReverseStockSplitMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reverse Stock Split [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReverseStockSplitMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reverse stock split.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReverseStockSplitMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reverse Stock Split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxAuthorityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Jurisdiction [Domain]</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="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Interactive Data Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfPriceLowerOfFairValueMarketValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of price lower of fair value market value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfPriceLowerOfFairValueMarketValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Price Lower Of Fair Value Market Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfPriceLowerOfFairValueMarketValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of price lower of fair value market value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_VolumeWeightedAveragePricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Volume weighted average price per share.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_VolumeWeightedAveragePricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Volume Weighted Average Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_VolumeWeightedAveragePricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Volume weighted average price per share</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">Statement of Income Location, Balance [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CappedPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Capped price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CappedPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capped Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CappedPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capped price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosureItemAmountsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement [Domain]</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">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [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>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FurnitureAndFixturesMember_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_RepaymentsOfLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total payoff amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Lines of Credit</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">Payment 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/label">Paid-in-Kind Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AmendmentToRevenueInterestFinancingAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment to Revenue Interest Financing Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AmendmentToRevenueInterestFinancingAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amendment to revenue interest financing agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_AmendmentToRevenueInterestFinancingAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amendment to Revenue Interest Financing Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Change in fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CashPaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash payments percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CashPaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Payments Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CashPaymentsPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash payments percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComponentsOfDeferredTaxLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Components of Deferred Tax Liabilities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComponentsOfDeferredTaxLiabilitiesAbstract_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_SchedulesOfConcentrationOfRiskByRiskFactorTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Risk of Concentration of Credit, Significant Customers</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SchedulesOfConcentrationOfRiskByRiskFactorTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedules of Concentration of Risk, by Risk Factor [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="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Tax Identification Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock price</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_DebtInstrumentTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument, term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtDecember012014Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants Issued At December 012014.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtDecember012014Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Issued At December 012014 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsIssuedAtDecember012014Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">December 1, 2014</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_MarketingReimbursement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Marketing reimbursement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_MarketingReimbursement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Marketing Reimbursement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_MarketingReimbursement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Marketing reimbursement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOrSaleOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance or Sale of Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOrSaleOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Proceeds from Issuance or Sale of Equity, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOrSaleOfEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross proceeds from offering</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="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Local Phone Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DoNotExpireMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Do not expire</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DoNotExpireMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Do Not Expire [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_DoNotExpireMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Do not expire.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReductionOfTheLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reduction of the liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReductionOfTheLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reduction of the liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ReductionOfTheLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduction of the liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_BoardOfDirectorsChairmanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Board of Directors Chairman [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_BoardOfDirectorsChairmanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Board of Director Members</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Lease, Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-term lease costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAssetsMeasuredOnRecurringBasisObservableAndUnobservableInputReconciliationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value, assets measured on recurring basis, observable and unobservable input reconciliation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAssetsMeasuredOnRecurringBasisObservableAndUnobservableInputReconciliationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets Measured On Recurring Basis, Observable And Unobservable Input Reconciliation [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAssetsMeasuredOnRecurringBasisObservableAndUnobservableInputReconciliationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, Assets Measured on Recurring Basis, Observable and Unobservable Input Reconciliation [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TranslationAdjustmentFunctionalToReportingCurrencyGainLossReclassifiedToEarningsNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Translation Adjustment Functional to Reporting Currency, Gain (Loss), Reclassified to Earnings, Net of Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TranslationAdjustmentFunctionalToReportingCurrencyGainLossReclassifiedToEarningsNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gains (losses) from foreign currency translation adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Denominator:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PipeConversionDerivativeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pipe conversion derivative.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PipeConversionDerivativeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">PIPE Conversion Derivative [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PipeConversionDerivativeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PIPE Conversion Derivative</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorOpinionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Auditor Opinion [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AuditorOpinionTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Auditor Opinion</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAdjustmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Adjustment of Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAdjustmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of expense (income) related to adjustment to fair value of debt.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueAdjustmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsRedumptionPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants redumption price per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsRedumptionPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants Redumption Price Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_WarrantsRedumptionPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Warrants redumption price per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Financing Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Payments of Financing Costs, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of debt issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFiveOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">January Two Thousand Twenty Five Offering [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFiveOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">January two thousand twenty five offering.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_JanuaryTwoThousandTwentyFiveOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">January 2025 Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-lived assets</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_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">Trading days</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_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer, 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/terseLabel">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/verboseLabel">Total revenue from UT</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Total net revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfAnnualNetSales_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of annual net sales.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfAnnualNetSales_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Annual Net Sales</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_PercentageOfAnnualNetSales_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of annual net sales</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomerAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Customer A.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomerAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_CustomerAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer A</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="us-gaap_OperatingLeasesFutureMinimumPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Future Minimum Lease Payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesFutureMinimumPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases, Future Minimum Payments Due</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/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">Remaining weighted-average period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedProfessionalFeesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Professional Fees, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedProfessionalFeesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued professional fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueOfRevenueInterestFinancingAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value of Revenue Interest Financing Agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueOfRevenueInterestFinancingAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value of revenue interest financing agreements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_FairValueOfRevenueInterestFinancingAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of revenue interest financing agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EffectiveIncomeTaxRateReconciliationChangeInFairValueOfFinancialInstruments_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Effective income tax rate reconciliation change in fair value of financial instruments.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EffectiveIncomeTaxRateReconciliationChangeInFairValueOfFinancialInstruments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of financial instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_EffectiveIncomeTaxRateReconciliationChangeInFairValueOfFinancialInstruments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Reconciliation Change In Fair Value Of Financial Instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="alur_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsAndRsusIssuedAndExercisableUnderThePlan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based compensation arrangement by share-based payment award, options and rsu's issued and exercisable under the plan.</link:label>
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  <xsd:element id="alur_IssuanceOfValueCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts" name="IssuanceOfValueCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_RevenueInterestFinancingLiabilityNoncurrent" name="RevenueInterestFinancingLiabilityNoncurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_NovemberTwoThousandTwentyFivePrivatePlacementMember" name="NovemberTwoThousandTwentyFivePrivatePlacementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_AverageObservedResidenceTimeForBalloon" name="AverageObservedResidenceTimeForBalloon" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_RevenueInterestFinancingAndPipeConversionOptionPolicyTextBlock" name="RevenueInterestFinancingAndPipeConversionOptionPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_StockOptionPlan2020StockOptionPlanMember" name="StockOptionPlan2020StockOptionPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FebruaryWarrantRepricingMember" name="FebruaryWarrantRepricingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_VanderbiltUniversityMedicalCenterMember" name="VanderbiltUniversityMedicalCenterMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_UnrestrictedCash" name="UnrestrictedCash" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_ConvertibleNotesMember" name="ConvertibleNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsIssuedAtJune252019Member" name="WarrantsIssuedAtJune252019Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_NewAccountingPronouncementsTableTextBlock" name="NewAccountingPronouncementsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_WarrantsIssuedAtSeptember082017Member" name="WarrantsIssuedAtSeptember082017Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_AdditionalRestructuringAndRelatedCosts" name="AdditionalRestructuringAndRelatedCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_DebtInstrumentFloorConversionPricePerShare" name="DebtInstrumentFloorConversionPricePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_RelatedPartyTransactionConsultingFees" name="RelatedPartyTransactionConsultingFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_ExpectedMarketCapitalizationValue" name="ExpectedMarketCapitalizationValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_ExpenseOfIssuanceOfCommitmentShares" name="ExpenseOfIssuanceOfCommitmentShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_PrePaymentsPercentage" name="PrePaymentsPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_TermLoanDerivativeLiabilityMember" name="TermLoanDerivativeLiabilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ProceedsFromOptionAndWarrantExercises" name="ProceedsFromOptionAndWarrantExercises" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_NonCashLeaseExpense" name="NonCashLeaseExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_IssuanceOfSharesCommonStockForConversionOfPreferredStock" name="IssuanceOfSharesCommonStockForConversionOfPreferredStock" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_ProvisionForUncollectibleAccounts" name="ProvisionForUncollectibleAccounts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_StockOptionPlan2020And2023StockOptionPlanMember" name="StockOptionPlan2020And2023StockOptionPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PipeConversionDerivativeMember" name="PipeConversionDerivativeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_BusinessCombinationContingentConsiderationNumberOfAdditionalSharesReceivable" name="BusinessCombinationContingentConsiderationNumberOfAdditionalSharesReceivable" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_DebtInstrumentExitFee" name="DebtInstrumentExitFee" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_WarrantsIssuedAtSeptember152022Member" name="WarrantsIssuedAtSeptember152022Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExtinguishmentOfDebt" name="FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExtinguishmentOfDebt" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_IssuanceOfSharesCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts" name="IssuanceOfSharesCommonStockInConnectionWithPublicOfferingNetOfIssuanceCosts" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_IncreaseInSalesRevenueNet" name="IncreaseInSalesRevenueNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_RevenueInterestFinancingMember" name="RevenueInterestFinancingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PipeConversionOptionRemeasuredValue" name="PipeConversionOptionRemeasuredValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_NovemberTwoThousandTwentyFivePrivatePlacementWithRTWMember" name="NovemberTwoThousandTwentyFivePrivatePlacementWithRTWMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_RelatedPartyTransactionTerminationFees" name="RelatedPartyTransactionTerminationFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_LegacyAllurionOtherCommonStockMember" name="LegacyAllurionOtherCommonStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DebtInstrumentDefaultInterestRate" name="DebtInstrumentDefaultInterestRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_FebruaryPublicOfferingAndLeavittPrivatePlacementMember" name="FebruaryPublicOfferingAndLeavittPrivatePlacementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_RtwConvertibleNotesMember" name="RtwConvertibleNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_UnrealizedExchangeGainLossAndOther" name="UnrealizedExchangeGainLossAndOther" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_InitialExerciseDateMember" name="InitialExerciseDateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PercentageOfAnnualNetSales" name="PercentageOfAnnualNetSales" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_RepaymentOfPrincipal" name="RepaymentOfPrincipal" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_TermLoanAccretion" name="TermLoanAccretion" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_FairValueAdjustmentOfDebt" name="FairValueAdjustmentOfDebt" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_RevenueInterestFinancingAgreementAmendmentMember" name="RevenueInterestFinancingAgreementAmendmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsIssuedAtJanuary272025Member" name="WarrantsIssuedAtJanuary272025Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ExistingHoldersOptionMember" name="ExistingHoldersOptionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PublicOfferingWarrantsMember" name="PublicOfferingWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityDerecognitionOfLiability" name="FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityDerecognitionOfLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_DebInstrumentConvertibleMaximumLimitationPercentageOfSharesOfCommonStockOutstanding" name="DebInstrumentConvertibleMaximumLimitationPercentageOfSharesOfCommonStockOutstanding" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_OutstandingOptionsToPurchaseCommonStockMember" name="OutstandingOptionsToPurchaseCommonStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PublicWarrantsToPurchaseCommonStockMember" name="PublicWarrantsToPurchaseCommonStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FortressCreditAgreementMember" name="FortressCreditAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PrivatePlacementWarrantsMember" name="PrivatePlacementWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ConversionOfPipeInvestmentToRevenueInterestFinance" name="ConversionOfPipeInvestmentToRevenueInterestFinance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_PercentageOfOutstandingCommonStock" name="PercentageOfOutstandingCommonStock" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_EarnoutLiabilityPolicyTextBlock" name="EarnoutLiabilityPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_RoyaltyRatesIncreasedByFactorOfPrincipalAmount" name="RoyaltyRatesIncreasedByFactorOfPrincipalAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_RemusGroupManagementMember" name="RemusGroupManagementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_OnOctober12024AndThereafterMember" name="OnOctober12024AndThereafterMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ScenarioPlanOneMember" name="ScenarioPlanOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_NumberOfConsecutiveTradingDay" name="NumberOfConsecutiveTradingDay" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_ChangeInFairValueOfWarrantLiabilities" name="ChangeInFairValueOfWarrantLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_ScheduleOfOtherPertinentLeaseInformationTableTextBlock" name="ScheduleOfOtherPertinentLeaseInformationTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_NewAllurionMember" name="NewAllurionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsToPurchasePreferredStockMember" name="WarrantsToPurchasePreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ChangeInFairValueOfShareObligation" name="ChangeInFairValueOfShareObligation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_NumberOfCountriesGenerateRevenue" name="NumberOfCountriesGenerateRevenue" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRemainingVestingRightsPercentage" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRemainingVestingRightsPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_AccruedClinicalTrialsAndResearchAndDevelopment" name="AccruedClinicalTrialsAndResearchAndDevelopment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_StockOptionAndIncentivePlanMember" name="StockOptionAndIncentivePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_SuccessFeeDerivativeLiabilityMember" name="SuccessFeeDerivativeLiabilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ChangeInFairValueOfRtwConvertibleNotesThroughOci" name="ChangeInFairValueOfRtwConvertibleNotesThroughOci" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_IssuanceOfSharesCommonStockForConversionOfConvertibleNotes" name="IssuanceOfSharesCommonStockForConversionOfConvertibleNotes" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_ScenarioPlanFourMember" name="ScenarioPlanFourMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DeferredTaxAssetsDepreciation" name="DeferredTaxAssetsDepreciation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_DigitalMember" name="DigitalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_SurrenderCommonStockValue" name="SurrenderCommonStockValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_ChefPurchaseAgreementMember" name="ChefPurchaseAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DebtInstrumentAdditionalPrincipalAmountForConversionIntoCommonStock" name="DebtInstrumentAdditionalPrincipalAmountForConversionIntoCommonStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_AgreementsTerminationDate" name="AgreementsTerminationDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_CappedPrice" name="CappedPrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_FairValueAssumptionsOfLiquidityEventTerm" name="FairValueAssumptionsOfLiquidityEventTerm" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_TwentyThousandTwentyFiveRestructuringPlanMember" name="TwentyThousandTwentyFiveRestructuringPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PublicShareWarrantsExercisableBeforeReverseStockSplit" name="PublicShareWarrantsExercisableBeforeReverseStockSplit" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_LnmpJpbcInvestMember" name="LnmpJpbcInvestMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DeferredTaxAssetsOperatingLossCarryForwardExpirationPeriod" name="DeferredTaxAssetsOperatingLossCarryForwardExpirationPeriod" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_FairValueOfEstimatedNumberOfShares" name="FairValueOfEstimatedNumberOfShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_NonCashInterestExpense" name="NonCashInterestExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_DebtInstrumentExitPaymentPercentage" name="DebtInstrumentExitPaymentPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_PubcoAdditionalShareLiabilityMember" name="PubcoAdditionalShareLiabilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_JanuaryTwoThousandTwentyFivePrivatePlacementWithRTWMember" name="JanuaryTwoThousandTwentyFivePrivatePlacementWithRTWMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_CustomersDMember" name="CustomersDMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantExpirationOnAnniversaryPeriod" name="WarrantExpirationOnAnniversaryPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_ComputersAndPurchasedSoftwareMember" name="ComputersAndPurchasedSoftwareMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ConversionDividedByDiscountedCappedConversionPrice" name="ConversionDividedByDiscountedCappedConversionPrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_FebruaryTwoThousandTwentyFivePrivatePlacementMember" name="FebruaryTwoThousandTwentyFivePrivatePlacementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_RTWParticipationInPublicOfferingMember" name="RTWParticipationInPublicOfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ChardanEquityFacilityMember" name="ChardanEquityFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_IssuanceOfSharesValueCommonStockForConversionOfConvertibleNotes" name="IssuanceOfSharesValueCommonStockForConversionOfConvertibleNotes" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_PreferredStockLiquidationPreferenceBasis" name="PreferredStockLiquidationPreferenceBasis" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_RevenueInterestFinancingAndPipeConversionOptionMember" name="RevenueInterestFinancingAndPipeConversionOptionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_InducementLetterWithExercisingHoldersMember" name="InducementLetterWithExercisingHoldersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsIssuedAtJune042022Member" name="WarrantsIssuedAtJune042022Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsIssuedAtJuly012024Member" name="WarrantsIssuedAtJuly012024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PercentageOfBeneficiallyOwnNumberOfSharesOfCommonStock" name="PercentageOfBeneficiallyOwnNumberOfSharesOfCommonStock" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_PercentageOfRoyaltyRate" name="PercentageOfRoyaltyRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityRepaymentOfDebt" name="FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityRepaymentOfDebt" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_JanuaryTwoThousandTwentyFiveOfferingMember" name="JanuaryTwoThousandTwentyFiveOfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DeferredTaxAssetsLeaseLiabilities" name="DeferredTaxAssetsLeaseLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_OptionRepricingOn2023PlanMember" name="OptionRepricingOn2023PlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PercentageOfPriceLowerOfFairValueMarketValue" name="PercentageOfPriceLowerOfFairValueMarketValue" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_CustomersMember" name="CustomersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ExpireBetweenTwoThousandThirtyAndTwoThousandThirtySevenMember" name="ExpireBetweenTwoThousandThirtyAndTwoThousandThirtySevenMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_RTWShareObligationMember" name="RTWShareObligationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_CustomerAMember" name="CustomerAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_CustomerCMember" name="CustomerCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_SeriesDOnePreferredStockMember" name="SeriesDOnePreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_TwentyThousandTwentyFourRestructuringPlanMember" name="TwentyThousandTwentyFourRestructuringPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_JanuaryPublicOfferingMember" name="JanuaryPublicOfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsIssuedAtFebruary202025Member" name="WarrantsIssuedAtFebruary202025Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_NovemberPrivatePlacementMember" name="NovemberPrivatePlacementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_AllurionGastricBalloonSystemMember" name="AllurionGastricBalloonSystemMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_TwoThousandTwentyThreeConvertibleNotesMember" name="TwoThousandTwentyThreeConvertibleNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PercentageOfConversionDiscountedPriceIsCalculatedOfCashPrice" name="PercentageOfConversionDiscountedPriceIsCalculatedOfCashPrice" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_JanuaryWarrantRepricingMember" name="JanuaryWarrantRepricingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ScenarioPlanTwoMember" name="ScenarioPlanTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_LatestTaxYearTwoThousandFortyTwoMember" name="LatestTaxYearTwoThousandFortyTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DoNotExpireMember" name="DoNotExpireMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DebtInstrumentPrincipalAmountForConversionIntoCommonStock" name="DebtInstrumentPrincipalAmountForConversionIntoCommonStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_PrincipalAmountOfRevenueInterestFinancing" name="PrincipalAmountOfRevenueInterestFinancing" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_NewWarrantsMember" name="NewWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ComponentsOfRevenueInterestFinancingTableTextBlock" name="ComponentsOfRevenueInterestFinancingTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_FairValueOfEstimatedPriceOfShares" name="FairValueOfEstimatedPriceOfShares" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_RevenuesInterestFinancingLiability" name="RevenuesInterestFinancingLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_NovemberTwoThousandTwentyFiveOfferingWarrantsMember" name="NovemberTwoThousandTwentyFiveOfferingWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_BenoitChardonConsultingMember" name="BenoitChardonConsultingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ExchangeAgreementMember" name="ExchangeAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsToPurchaseCommonStockMember" name="WarrantsToPurchaseCommonStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_NotePurchaseAgreementMember" name="NotePurchaseAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PubcoAdditionalSharesLiabilityMember" name="PubcoAdditionalSharesLiabilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_MezzanineEquityPolicyTextBlock" name="MezzanineEquityPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_StockIssuedDuringPeriodValueExerciseOfPIPEConversionOption" name="StockIssuedDuringPeriodValueExerciseOfPIPEConversionOption" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseMarkToMarket" name="EffectiveIncomeTaxRateReconciliationNondeductibleExpenseMarkToMarket" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_RestructuringIncurredCostStatementOfIncomeOrComprehensiveIncomeExtensibleEnumerationNotDisclosedFlag" name="RestructuringIncurredCostStatementOfIncomeOrComprehensiveIncomeExtensibleEnumerationNotDisclosedFlag" type="enum2:enumerationSetItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" enum2:domain="us-gaap:RestructuringChargesAbstract" enum2:headUsable="false" enum2:linkrole="http://fasb.org/us-gaap/role/eedm/ExtensibleEnumerationLists"/>
  <xsd:element id="alur_HunterVenturesLimitedMember" name="HunterVenturesLimitedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_TwoThousandAndTenStockOptionPlanTwoThousandAndTwentyStockOptionPlanTwoThousandAndTwentyThreeStockOptionAndIncentivePlanMember" name="TwoThousandAndTenStockOptionPlanTwoThousandAndTwentyStockOptionPlanTwoThousandAndTwentyThreeStockOptionAndIncentivePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_CommitmentSharesMember" name="CommitmentSharesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DeferredTaxLiabilitiesConvertibleDebt" name="DeferredTaxLiabilitiesConvertibleDebt" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_ScheduleOfWeightedAverageRemainingLeaseTermsAndDiscountRatesRelatedLeasesTableTextBlock" name="ScheduleOfWeightedAverageRemainingLeaseTermsAndDiscountRatesRelatedLeasesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_RTWConvertibleNotePolicyTextBlock" name="RTWConvertibleNotePolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_PercentageOfEmployeesCompensationToPayrollDeductions" name="PercentageOfEmployeesCompensationToPayrollDeductions" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_RevenueInterestPaymentsPercentage" name="RevenueInterestPaymentsPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_VolumeWeightedAveragePricePerShare" name="VolumeWeightedAveragePricePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsAndRsusIssuedAndExercisableUnderThePlan" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsAndRsusIssuedAndExercisableUnderThePlan" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_IssuanceOfValueCommonStockForConversionOfPreferredStock" name="IssuanceOfValueCommonStockForConversionOfPreferredStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_DebtInstrumentConvertiblePremiumPercentageOfStockPriceTrigger" name="DebtInstrumentConvertiblePremiumPercentageOfStockPriceTrigger" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_PrepaymentFee" name="PrepaymentFee" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_NetProceedsFromIssuanceOrSaleOfEquity" name="NetProceedsFromIssuanceOrSaleOfEquity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_LesseeOperatingLeaseExpirationPeriod" name="LesseeOperatingLeaseExpirationPeriod" type="xbrli:gYearMonthItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_NovemberTwoThousandTwentyFiveWarrantsMember" name="NovemberTwoThousandTwentyFiveWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_TwentyThousandTwentyThreeRestructuringPlanMember" name="TwentyThousandTwentyThreeRestructuringPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FairValueAssetsMeasuredOnRecurringBasisObservableAndUnobservableInputReconciliationTable" name="FairValueAssetsMeasuredOnRecurringBasisObservableAndUnobservableInputReconciliationTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_IntellectualPropertyProsecutionCostsPolicyTextBlock" name="IntellectualPropertyProsecutionCostsPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_AggregatePurchasePriceFromOffering" name="AggregatePurchasePriceFromOffering" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_PreferredStockRedemptionBasis" name="PreferredStockRedemptionBasis" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_StockIssuedDuringPeriodSharesExerciseOfPIPEConversionOption" name="StockIssuedDuringPeriodSharesExerciseOfPIPEConversionOption" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_IncomeTaxReconciliationNondeductibleExpenseMarkToMarket" name="IncomeTaxReconciliationNondeductibleExpenseMarkToMarket" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_CustomerBMember" name="CustomerBMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_SeriesDTwoPreferredStockMember" name="SeriesDTwoPreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_AmortizationOfIssuanceCostsAssociatedWithWarrants" name="AmortizationOfIssuanceCostsAssociatedWithWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_OperatingLeaseCommencementDate" name="OperatingLeaseCommencementDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_BusinessCombinationAgreementMember" name="BusinessCombinationAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsIssuedAtJanuary172017Member" name="WarrantsIssuedAtJanuary172017Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_RevenueInterestFinancingAgreementRemeasuredValue" name="RevenueInterestFinancingAgreementRemeasuredValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_IssuanceOfCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts" name="IssuanceOfCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_FromApril12024ToJune302024Member" name="FromApril12024ToJune302024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PercentageOfNetSales" name="PercentageOfNetSales" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_ReductionOfTheLiability" name="ReductionOfTheLiability" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_InterestPaidOnDebtRecordedAtFairValue" name="InterestPaidOnDebtRecordedAtFairValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_RothCapitalPartnersLLCMember" name="RothCapitalPartnersLLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ReverseStockSplitMember" name="ReverseStockSplitMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_CashPaymentsPercentage" name="CashPaymentsPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_PercentageOfInternalRateOfReturn" name="PercentageOfInternalRateOfReturn" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_TwoThousandNineteenTermLoanAndSuccessFeeMember" name="TwoThousandNineteenTermLoanAndSuccessFeeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_TimeVestedRestrictedStockUnitsMember" name="TimeVestedRestrictedStockUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_IssuanceOfSharesCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts" name="IssuanceOfSharesCommonStockInConnectionWithRTWPrivatePlacementNetOfIssuanceCosts" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_PublicWarrantsMember" name="PublicWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_IssuanceOfCommonStockForExerciseOfWarrantsShares" name="IssuanceOfCommonStockForExerciseOfWarrantsShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_PIPEConversionOptionMember" name="PIPEConversionOptionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PercentageOfGrossProceedsFromTheExerciseOfTheExistingWarrants" name="PercentageOfGrossProceedsFromTheExerciseOfTheExistingWarrants" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_DerivativeLiabilitySuccessFeeMember" name="DerivativeLiabilitySuccessFeeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FebruaryTwoThousandTwentyFiveOfferingWarrantsMember" name="FebruaryTwoThousandTwentyFiveOfferingWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DistributorFeesAndMarketingReimbursements" name="DistributorFeesAndMarketingReimbursements" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_PercentageOfSharesOfCommonStockHeld" name="PercentageOfSharesOfCommonStockHeld" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_TwoThousandNineteenTermLoanMember" name="TwoThousandNineteenTermLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_NovemberTwoThousandTwentyFiveOfferingMember" name="NovemberTwoThousandTwentyFiveOfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_OrganizationAndDescriptionOfBusinessAbstract" name="OrganizationAndDescriptionOfBusinessAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_TaxCreditCarryForwardsResearchAndDevelopmentExpirationYear" name="TaxCreditCarryForwardsResearchAndDevelopmentExpirationYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_PaymentOfAccruedRestructuring" name="PaymentOfAccruedRestructuring" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_IncreaseDecreaseInPercentageOfNumberOfSharesReservedForFutureIssuance" name="IncreaseDecreaseInPercentageOfNumberOfSharesReservedForFutureIssuance" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_JulyTwoThousandTwentyFourPrivatePlacementWarrantsMember" name="JulyTwoThousandTwentyFourPrivatePlacementWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_BasePubcoAndBackstopShareLiabilityMember" name="BasePubcoAndBackstopShareLiabilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_DebtIssuanceCostsPolicyTextBlock" name="DebtIssuanceCostsPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_TaxCreditCarryForwardsResearchAndDevelopment" name="TaxCreditCarryForwardsResearchAndDevelopment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_MarketingReimbursement" name="MarketingReimbursement" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_PreferredEquityPolicyTextBlock" name="PreferredEquityPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_CommonStockWarrantsMember" name="CommonStockWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_SeriesAOnePreferredStockMember" name="SeriesAOnePreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_RepaymentOfFortressTermLoan" name="RepaymentOfFortressTermLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfWarrants" name="FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_NovemberTwoThousandTwentyFiveOfferingAndPrivatePlacementMember" name="NovemberTwoThousandTwentyFiveOfferingAndPrivatePlacementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_BasePubcoSharesAndBackstopShareLiabilityMember" name="BasePubcoSharesAndBackstopShareLiabilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_NumberOfCountriesGenerateRevenueBySales" name="NumberOfCountriesGenerateRevenueBySales" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_FromJuly12024ToSeptember302024Member" name="FromJuly12024ToSeptember302024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_AmortizationOfTheWarrant" name="AmortizationOfTheWarrant" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_StructuringFeePayable" name="StructuringFeePayable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_ExerciseOfPIPEConversionOption" name="ExerciseOfPIPEConversionOption" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_TemporaryEquityStockIssuedDuringPeriodSharesNewIssues" name="TemporaryEquityStockIssuedDuringPeriodSharesNewIssues" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_FairValueAdjustmentOfEarnOutLiabilities" name="FairValueAdjustmentOfEarnOutLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_BusinessCombinationCommonStockExchangeRatio" name="BusinessCombinationCommonStockExchangeRatio" type="xbrli:pureItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_NumberOfBalloons" name="NumberOfBalloons" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_LeavittPrivatePlacementMember" name="LeavittPrivatePlacementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_SeriesBConvertiblePreferredStockMember" name="SeriesBConvertiblePreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FortressAmendmentMember" name="FortressAmendmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FebruaryTwoThousandTwentyFiveOfferingAndPrivatePlacementMember" name="FebruaryTwoThousandTwentyFiveOfferingAndPrivatePlacementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsIssuedAtMarch302021Member" name="WarrantsIssuedAtMarch302021Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityPayments" name="FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityPayments" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_PreferredStockWarrantsMember" name="PreferredStockWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PublicOfferingWarrantsAndShareOverallotmentMember" name="PublicOfferingWarrantsAndShareOverallotmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_RestructuringChargesAndRelatedCost" name="RestructuringChargesAndRelatedCost" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_PercentageOfCommonStockSharesOutstanding" name="PercentageOfCommonStockSharesOutstanding" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfPipeConversionOption" name="FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityExerciseOfPipeConversionOption" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_NatickAndHudsonMember" name="NatickAndHudsonMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_RemittanceOfRevenueInterestPaymentsPercentage" name="RemittanceOfRevenueInterestPaymentsPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_ScenarioPlanThreeMember" name="ScenarioPlanThreeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_AccruedRestructuringCurrent" name="AccruedRestructuringCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_BalloonsPlacedDuringPeriod" name="BalloonsPlacedDuringPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_ProceedsFromRevenueInterestFinancing" name="ProceedsFromRevenueInterestFinancing" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_TwoThousandTwentyOneTermLoanMember" name="TwoThousandTwentyOneTermLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ChangesInFairValueOfRevenueInterestFinancingAndPipeConversionOption" name="ChangesInFairValueOfRevenueInterestFinancingAndPipeConversionOption" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_LesseeOperatingLeaseTerminatedDate" name="LesseeOperatingLeaseTerminatedDate" type="xbrli:gYearMonthItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_PlacementAgentFees" name="PlacementAgentFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_SharesOfCommonStockIssuedUponTheExerciseOfPublicWarrantsMember" name="SharesOfCommonStockIssuedUponTheExerciseOfPublicWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_SecondAmendmentToNotePurchaseAgreementMember" name="SecondAmendmentToNotePurchaseAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_FiveCountriesIncludedWithinAllOtherCountriesMember" name="FiveCountriesIncludedWithinAllOtherCountriesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ChangeInFairValueOfRevenueInterestFinancingThroughOci" name="ChangeInFairValueOfRevenueInterestFinancingThroughOci" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_RoyaltyPayments" name="RoyaltyPayments" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_BackstopAgreementMember" name="BackstopAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_KkgEnterprisesMember" name="KkgEnterprisesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ChangesInFairValueOfDebt" name="ChangesInFairValueOfDebt" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_RevenueInterestFinancingSideLetterAndPIPEConversionOptionTextBlock" name="RevenueInterestFinancingSideLetterAndPIPEConversionOptionTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_ConvertibleNoteAgreementWithRtwMember" name="ConvertibleNoteAgreementWithRtwMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_EarnOutLiabilityMember" name="EarnOutLiabilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_WarrantsRedumptionPricePerShare" name="WarrantsRedumptionPricePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_DebtInstrumentMeasurementInputDiscountRate" name="DebtInstrumentMeasurementInputDiscountRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="alur_ClinicalTrialsAndMedicalAffairsMember" name="ClinicalTrialsAndMedicalAffairsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_PrivatePlacementWithRTWMember" name="PrivatePlacementWithRTWMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ConversionDividedByCappedConversionPrice" name="ConversionDividedByCappedConversionPrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="alur_PercentageOfPreferredStockRedeemableShares" name="PercentageOfPreferredStockRedeemableShares" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="alur_AmendedAndRestatedRtwSideLetterMember" name="AmendedAndRestatedRtwSideLetterMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_ConstructionInProgress" name="ConstructionInProgress" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="alur_WarrantsIssuedAtNovember112025Member" name="WarrantsIssuedAtNovember112025Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="alur_IssuanceOfCommonStockToConultantsAmount" name="IssuanceOfCommonStockToConultantsAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
</xsd:schema>
