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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value Inputs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedPaymentAwardStockOptionsValuationAssumptionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Payment Award, Stock Options, Valuation Assumptions [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Stock Option Activity</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RestatementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revision of Prior Period [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RestatementDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revision of Prior Period [Domain]</link:label>
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    <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/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_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected volatility</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividend yield</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationAggregateDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Additional Disclosure [Abstract]</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>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CommonStockWarrantsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The entire disclosure of common stock warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RestatementAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Retroactive application of reverse recapitalization [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RestatementAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjusted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RestatementAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revision of Prior Period, Adjustment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsReceivableAllowanceForCreditLossTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Accounts Receivable, Net</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss per share attributable to common stockholders, basic</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic, Total</link:label>
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    <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_NetIncomeLossAvailableToCommonStockholdersBasicAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Basic and Diluted Net Loss Per Share [Abstract]</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">Basis of Presentation and Summary of Significant Accounting Policies [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basis of Presentation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BasisOfAccountingPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basis of Accounting, Policy [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredOfferingCosts_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_DeferredOfferingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Offering Costs</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="ck0002108121_SimpleAgreementsForFutureEquityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Simple Agreements for Future Equity [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PromissoryNoteMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Promissory Note [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PlacementAgentWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Placement Agent Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_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="ck0002108121_ContingentEquityArrangementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Equity Arrangement [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/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 Offering [Member]</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="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="dei_EntityIncorporationDateOfIncorporation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity incorporation date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationDateOfIncorporation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, Date of Incorporation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationDescriptionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Description of Business [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 Taxes [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total long-term liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Noncurrent</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 9)</link:label>
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    <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; 10,000,000 shares authorized, no shares issued and outstanding as of September 30, 2026. No shares authorized, issued, or outstanding as of December 31, 2025.</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_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_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital, Total</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardPerShareWeightedAveragePriceOfSharesPurchased_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock option purchase exercise price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardPerShareWeightedAveragePriceOfSharesPurchased_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Per Share Weighted Average Price of Shares Purchased</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardTermsOfAward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contractual term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardTermsOfAward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Terms of Award</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="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="ck0002108121_TwentyTwentySixEIPMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">2026 EIP [Member]</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">Fair value of award requisite service periods</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_ShareBasedCompensationArrangementByShareBasedPaymentAwardExpirationDate_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="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DescriptionOfBusinessTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Description of Business [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockPricePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares 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/label">Sale of Stock, Price Per Share</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_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/label">Stock Issued During Period, Shares, New Issues</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/terseLabel">Subsequent Events [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_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_SubsequentEventsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_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="us-gaap_SubsequentEventTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies [Abstract]</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&#8217; equity (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/periodEndLabel">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">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/label">Equity, Attributable to Parent</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&#8217; equity (deficit)</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_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, par value (in Dollars per share)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Par or Stated Value Per Share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, shares authorized (in Shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares Authorized</link:label>
    <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 (in Shares)</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_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, shares outstanding (in Shares)</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">Common Stock, Shares, Outstanding</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_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_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leases right-of-use 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/verboseLabel">Operating lease right-of-use assets</link:label>
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    <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 non-current assets</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_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="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_PreferredStockConvertibleConversionRatio_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion ratio of shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockConvertibleConversionRatio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Convertible, Conversion Ratio</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesAndOtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses and other current liabilities</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedLiabilitiesAndOtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Liabilities and Other Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermBorrowings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-term debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermBorrowings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Total</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskBenchmarkDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Benchmark [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="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_ConcentrationRiskLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Customers Revenue or Accounts Receivable [Line Items]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Type [Axis]</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>
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    <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_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities, redeemable convertible preferred stock and stockholders&#8217; equity (deficit)</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_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities, redeemable convertible preferred stock and stockholders&#8217; equity (deficit)</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_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="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_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_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets, Current, Total</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="us-gaap_LiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Current, Total</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="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_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="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_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="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_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="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_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Current Reporting Status</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Current Reporting Status</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Emerging Growth Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Emerging Growth Company</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="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="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity File Number</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="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_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Incorporation, State or Country Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, State or Country Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="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="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_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="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_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="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_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="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="us-gaap_NatureOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Description of Business</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NatureOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Nature of Operations [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares sold</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="ck0002108121_OutstandingCommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Outstanding common stock warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_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_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Noncash Item [Abstract]</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="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_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurement</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="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfPlacementAgentWarrantsEquityComponent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of placement agent warrants (equity component)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfPlacementAgentWarrantsEquityComponent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Issuance of Placement Agent Warrants (Equity Component)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfPlacementAgentWarrantsEquityComponent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Issuance of placement agent warrants (equity component).</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Issuance costs &#8211; placement agent warrants (non-cash)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Warrant Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInConversionOfLegacyIonetixPreferredStockWarrantsIntoTheCompanysCommonStockWarrantsUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Legacy Ionetix Preferred Stock Warrants into the Company&#8217;s Common Stock Warrants upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInConversionOfLegacyIonetixPreferredStockWarrantsIntoTheCompanysCommonStockWarrantsUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Conversion of Legacy Ionetix Preferred Stock Warrants into the Company&#8217;s Common Stock Warrants upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInConversionOfLegacyIonetixPreferredStockWarrantsIntoTheCompanysCommonStockWarrantsUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Conversion of Legacy Ionetix Preferred Stock Warrants into the Company&#8217;s Common Stock Warrants upon the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of warrant liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Warrant amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Estimated grant-date fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/disclosureGuidance">Fair value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Adjustment of Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock, shares issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Shares Issued</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">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/label">Preferred Stock, Shares Outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfAllowanceForInventoryAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Allowance for Inventory [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total cash and restricted cash</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 and restricted cash, beginning of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash and restricted cash, end of period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/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_RestrictedCashAndCashEquivalentsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash, non-current in other non-current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash and Cash Equivalent, Noncurrent, Total</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/periodStartLabel">Balance as of December 31, 2025</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/periodEndLabel">Balance as of September 30, 2026</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryValuationReserves_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Less: allowance for inventory obsolescence</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_Cash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Cash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionChargedToCostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision charged to cost of revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionChargedToCostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision Charged to Cost of Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionChargedToCostOfRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of provision charged to cost of revenue.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash investing and financing activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the subsequent private placement offering, net of transaction cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Issuance of Common Stock in Connection with the Subsequent Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of issuance of common stock in connection with the subsequent private placement offering.</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="ck0002108121_ChangeInFairValueOfSAFELiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of SAFE liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfSAFELiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Fair Value of SAFE Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfSAFELiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of change in fair value of safe liability.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the subsequent private placement offering, net of transaction cost (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Issuance of Common Stock in Connection with the Subsequent Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of issuance of common stock in connection with the subsequent private placement offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfMakeWholeDerivativeLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value of derivative liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfMakeWholeDerivativeLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Change in Fair Value of Make-Whole Derivative Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangeInFairValueOfMakeWholeDerivativeLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of change in fair value of make-whole derivative liabilities.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyThreeNotesAndTwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 Notes and 2024 Note [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyThreeNotesAndTwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Three Notes and Two Thousand Twenty Four Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to JDEV shareholders in connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Issuance of Common Stock to JDEV Shareholders in Connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Issuance of common stock to JDEV shareholders in connection with the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDebtExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDebtExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Debt Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to JDEV shareholders in connection with the Merger (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Issuance of Common Stock to JDEV Shareholders in Connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of Issuance of common stock to JDEV shareholders in connection with the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Termination Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Issuance of Common Stock in Connection with the Termination Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Issuance of common stock in connection with the Termination Agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of common stock warrants (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Exercise of Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of stock issued during period shares exercise of common stock warrants.</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</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, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Conversion of Legacy Ionetix Redeemable Convertible Preferred Stock into Common Stock upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of conversion of legacy ionetix redeemable convertible preferred stock into common stock upon the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Conversion Of Legacy Ionetix Redeemable Convertible Preferred Stock Into Common Stock Upon The Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of Conversion of Legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger.</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="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="ck0002108121_RepaymentOfAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Repayment of an investor advance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment Of An Investor Advance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of repayment of an investor advance.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfFinancingAgreements_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Repayment of financing agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfFinancingAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment of financing agreements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfFinancingAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of repayment of financing agreements.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from an investor advance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From An Investor Advance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromAnInvestorAdvance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from an investor advance.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from exercise of stock options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Stock Options Exercised</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from exercise of common stock warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromWarrantExercises_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Warrant Exercises</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/definitionGuidance">Conversion of stock</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 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/label">Conversion of Stock, Shares Converted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedArrangementsToObtainGoodsAndServicesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Disclosure [Abstract]</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/terseLabel">Schedule of Reserved Shares of Common Stock for Future Issuance [Line Items]</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/verboseLabel">Stockholders&#8217; Equity (Deficit) [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Schedule of Stock Based Compensation [Line Items]</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/disclosureGuidance">Schedule of Stock Option Activity [Line Items]</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_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total</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_FairValueDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Aggregate Fair Value of Financial Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets 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_InventoryNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Inventory [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value Financial Liabilities on a Recurring Basis</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueLiabilitiesMeasuredOnRecurringBasisTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Liabilities Measured on Recurring Basis [Table Text Block]</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">Sub-assemblies, components, and raw materials</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_PreferredStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Preferred stock 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, 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/label">Preferred Stock, Shares Authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Components of cash and restricted cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restricted cash in prepaid expenses and other current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash and Cash Equivalent, Current</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="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_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="ck0002108121_PrivatePlacementOfferingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Private Placement Offering [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/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/2003/role/label">Operating Income (Loss), Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of common stock warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Exercise of Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueExerciseOfCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of stock issued during period value exercise of common stock warrants.</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>
    <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>
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    <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>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PropertyAndEquipmentIncludedInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and equipment included in accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PropertyAndEquipmentIncludedInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property and Equipment Included in Accounts Payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PropertyAndEquipmentIncludedInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of p
roperty and equipment included in accounts payable.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransferOfInventoryToPropertyAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer of inventory to property and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransferOfInventoryToPropertyAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transfer Of Inventory To Property And Equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransferOfInventoryToPropertyAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of transfer of inventory to property and equipment.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock to JDEV shareholders in connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of common stock to JDEV shareholders in connection with the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockToJDEVShareholdersInConnectionWithTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of common stock to JDEV shareholders in connection with the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AssetRetirementObligationsIncurredAndCapitalized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset retirement obligations incurred and capitalized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AssetRetirementObligationsIncurredAndCapitalized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligations Incurred and Capitalized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AssetRetirementObligationsIncurredAndCapitalized_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of asset retirement obligations incurred and capitalized.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangesInFairValueOfTheEmbeddedConversionFeatur_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in fair value of the embedded conversion feature</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangesInFairValueOfTheEmbeddedConversionFeatur_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Changes in fair value of the embedded conversion featur</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ChangesInFairValueOfTheEmbeddedConversionFeatur_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Changes in fair value of the embedded conversion featur.</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/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_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from financing activities:</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_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/label">Research and Development Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of SAFEs to Series F redeemable convertible preferred stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, 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/terseLabel">Conversion of SAFEs to Series F redeemable convertible preferred stock (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_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_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_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise of stock options (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Options exercised, Number of options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnAbandonedFinancingTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on abandoned financing transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnAbandonedFinancingTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss on Abandoned Financing Transaction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnAbandonedFinancingTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of loss on abandoned financing transaction.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncashIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncashIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Noncash Income (Expense), Total</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, net</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_IncreaseDecreaseInNotesReceivableCurrent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loan receivable, net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInNotesReceivableCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Notes Receivable, Current</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, net</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, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidExpensesOther_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Prepaid expenses and other assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidExpensesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Prepaid Expenses, Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_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_DerivativeAssetsLiabilitiesAtFairValueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of derivative liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Assets (Liabilities), at Fair Value, Net, Total</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_InventoryNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total 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, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ExerciseOfPreferredStockWarrantForSeriesFRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exercise of Preferred Stock Warrant for Series F Redeemable Convertible Preferred Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ExerciseOfPreferredStockWarrantForSeriesFRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The Amount of Exercise of Preferred Stock Warrant for Series F Redeemable Convertible Preferred Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ExerciseOfPreferredStockWarrantForSeriesFRedeemableConvertiblePreferredStockShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exercise of Preferred Stock Warrant for Series F Redeemable Convertible Preferred Stock ,Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ExerciseOfPreferredStockWarrantForSeriesFRedeemableConvertiblePreferredStockShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The Amount of Exercise of Preferred Stock Warrant for Series F Redeemable Convertible Preferred Stock,Shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PaymentForDeferredTransactionCostsRelatedToPendingFinancing_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment for deferred transaction costs related to pending financing</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PaymentForDeferredTransactionCostsRelatedToPendingFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment for deferred transaction costs related to pending financing</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PaymentForDeferredTransactionCostsRelatedToPendingFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment for deferred transaction costs related to pending financing</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromExerciseOfPreferredStockWarrant_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from exercise of preferred stock warrant</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromExerciseOfPreferredStockWarrant_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from exercise of preferred stock warrant</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryCurrent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: inventory, current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryCurrent_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="ck0002108121_InventoryCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">inventory current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of inventory, current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net increase (decrease) in cash and restricted cash</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Excluding Exchange Rate Effect, Including Discontinued Operation</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-process</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_InventoryGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Inventory, gross</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Gross, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DeferredTransactionCostsIncludedInAccruedExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred transaction costs included in accrued expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DeferredTransactionCostsIncludedInAccruedExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred transaction costs included in accrued expenses.</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</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares of redeemable convertible preferred stock outstanding</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Other</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Carrying value of the redeemable convertible preferred stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Redeemable Convertible Preferred Stock</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_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="ck0002108121_JDEVAcquisitionCorpMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">JDEV Acquisition Corp [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationDepletionAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation and amortization</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationDepletionAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation, Depletion and Amortization, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Selling, general and administrative</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling, General and Administrative Expense, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of operating right-of-use assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Right-of-Use Asset, Periodic Reduction</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnsecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unsecured aggregate principal amounts</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnsecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Unsecured debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnsecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unsecured Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyThreeNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2023 Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyThreeNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand twenty Three Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TwoThousandTwentyFourNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand twenty Four Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Merger and private placement offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Value Issuance of Common Stock In Connection with the Merger and Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodValueIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of issuance of common stock in connection with the Merger and private placement offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants of purchase shares</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/disclosureGuidance">Warrant purchase shares</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">Warrant purchase shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Number of Securities Called by Warrants or Rights</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise price of warrants</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_LiabilitiesFairValueAdjustment_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="us-gaap_LiabilitiesFairValueAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Fair Value Adjustment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Termination Agreement (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Issuance of Common Stock in Connection with the Termination Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheTerminationAgreement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of Issuance of common stock in connection with the Termination Agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants in settlement of a contingent equity arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Issuance of Common Stock Warrants In Settlement of a Contingent Equity Arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_AdjustmentsToAdditionalPaidInIssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of Issuance of common stock warrants in settlement of a contingent equity arrangement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other income (expense), net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Nonoperating Income (Expense)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_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_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/label">Share-Based Payment Arrangement, Noncash Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfFinancingCostsAndDiscounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization and write-off of debt discount and issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfFinancingCostsAndDiscounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Debt Issuance Costs and Discounts, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Future Minimum Lease Payments Under Non-cancellable Leases</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="srt_ChiefExecutiveOfficerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Chief Executive Officer [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilitiesPaymentsDueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Future Minimum Lease Payments Under Non-cancellable Leases [Abstract]</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="us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remainder of 2026</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Remainder of Fiscal Year</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromTheIssuanceOfSAFEs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from the issuance of SAFEs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromTheIssuanceOfSAFEs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">It represents proceeds from the issuance of simple agreement for future equity.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SeriesFRedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series F Redeemable Convertible Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrant conversion</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConversionOfStockSharesIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Stock, Shares Issued</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">Weighted-average remaining lease term (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="ck0002108121_GainOnChangeInFairValueOfPreferredStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain on change in fair value of preferred stock warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_GainOnChangeInFairValueOfPreferredStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gain on change in fair value of preferred stock warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TechnologyEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Specialized technical equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TechnologyEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Technology Equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Derivative liability.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_FairValueOptionChangesInFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in fair value recognized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_FairValueOptionChangesInFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">FairValue Option Changes In Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_FairValueOptionChangesInFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Changes in fair value recognized.</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/terseLabel">Liabilities Measured at Fair Value on a Recurring Basis [Member]</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="us-gaap_AccountsReceivableNetCurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Accounts Receivable, Net [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_PromissoryNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Promissory Notes [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment of advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment of advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOfAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of advances repaid.</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/terseLabel">Operating lease liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: Imputed interest</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, Undiscounted Excess Amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total undiscounted lease payments</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Total</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="us-gaap_OffsettingLiabilitiesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SAFE Liability [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OffsettingLiabilitiesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Offsetting Liabilities [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SAFELiabilityTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SAFE Liability [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SAFELiabilityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SAFE Liability [Abstract]</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_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="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_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="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="ck0002108121_WarrantLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant Liability [Member]</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/terseLabel">Schedule of Financial Liabilities Measured at Fair Value on a Recurring Basis [Line Items]</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="us-gaap_LiabilitiesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total liabilities at fair value</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/periodEndLabel">Balance as of June 30, 2026</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/periodStartLabel">Balance as of December 31, 2025</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/label">Liabilities, Fair Value Disclosure, 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="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="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of debt discount</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="ck0002108121_WarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrants [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsReceivedRecognizedUpfrontLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds received upfront loss amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsReceivedRecognizedUpfrontLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds Received Recognized Upfront Loss</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsReceivedRecognizedUpfrontLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of proceeds received recognized upfront loss.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Change in fair value loss amount</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOptionChangesInFairValueGainLoss1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Option, Changes in Fair Value, Gain (Loss)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockConvertibleConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion price per share</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockConvertibleConversionPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Convertible, Conversion Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SAFELiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SAFE Liability [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_FinancingAgreementsOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Agreements One [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TemporaryEquityDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redeemable Convertible Preferred Stock [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redeemable Convertible Preferred Stock</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredStockTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock [Text Block]</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_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_AccountsPayableAndAccruedLiabilitiesNoncurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Other Non-Current Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CustomerDepositNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/commentaryGuidance">Customer deposits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CustomerDepositNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer deposit Non-Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CustomerDepositNonCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of customer deposit.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GovernmentAssistanceLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Government grant obligation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GovernmentAssistanceLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Government Assistance, Liability, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset retirement obligation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetRetirementObligationCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Retirement Obligation, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccruedLiabilitiesNoncurrent_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_OtherAccruedLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Accrued Liabilities, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAndAccruedLiabilitiesNoncurrent_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_AccountsPayableAndAccruedLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable and Accrued Liabilities, Noncurrent, Total</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_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_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_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_PropertyPlantAndEquipmentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Property and Equipment, Net [Abstract]</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/terseLabel">Related Party Transactions [Line Items]</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_PaymentsForRent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments for rent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForRent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for Rent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease cost</link:label>
    <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_AccruedEmployeeBenefitsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued compensation and benefits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccruedEmployeeBenefitsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Employee Benefits, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CustomerDepositsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer deposits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CustomerDepositsCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer Deposits, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other accrued expenses and other current liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Accounts Payable and Accrued Liabilities</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">Aggregate carrying value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Aggregate proceeds from warrant</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Warrants</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/terseLabel">Schedule of Property and Equipment, Net [Line Items]</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_ConstructionInProgressMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction in progress [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionInProgressMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction in Progress [Member]</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">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/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_PropertyPlantAndEquipmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total property and equipment</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, before Accumulated Depreciation, Depletion, and Amortization, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilitySettlements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Settlements</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/negatedTerseLabel">Less accumulated depreciation</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">Property, Plant, and Equipment, Accumulated Depreciation, Depletion, and Amortization</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_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/label">Property, Plant, and Equipment, after Accumulated Depreciation, Depletion, and Amortization, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total lease liabilities 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">Short-term operating lease liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-term liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConvertiblePreferredStocksMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Preferred Stocks [Member]</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/terseLabel">Schedule of Redeemable Convertible Preferred Stock [Line Items]</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_PreferredStockNumberOfSharesParValueAndOtherDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Stock, Number of Shares, Par Value and Other Disclosure [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockByClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock, Class of Stock [Table]</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 Convertible 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/label">Series A 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 Convertible 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/label">Series B Preferred Stock [Member]</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/periodStartLabel">Aggregate 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/periodEndLabel">Aggregate 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/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_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options granted, Number of options</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_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options granted, 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/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_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options exercised, 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/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_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options exercised, Aggregate intrinsic value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period, Intrinsic Value</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/terseLabel">Options cancelled, Number of options</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_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Options cancelled, Weighted average exercise price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Forfeitures in Period, Weighted Average Exercise Price</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</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</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, 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/periodEndLabel">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/periodStartLabel">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/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price, Ending Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average remaining contractual life (years)</link:label>
    <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 life (years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted-Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Vested and expected to vest, Number of options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Vested and expected to vest, Weighted average exercise price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Vested and expected to vest, Aggregate intrinsic value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Aggregate Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested and expected to vest, Weighted average remaining contractual life (years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Outstanding, Weighted Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Exercisable, Number of options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Number</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Exercisable, Weighted average exercise price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Exercisable, Aggregate intrinsic value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Aggregate Intrinsic Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total stock-based compensation</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CostOfRevenueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of revenue [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ResearchAndDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Research and development [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SellingGeneralAndAdministrativeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling, general and administrative [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercisable, Weighted average remaining contractual life (years)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageRemainingContractualTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted-Average Remaining Contractual Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized stock-based compensation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Option, Cost Not yet Recognized, Amount</link:label>
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    <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="ck0002108121_StatementOfIncomeBalanceDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Income, Balance [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioPreviouslyReportedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Previously Reported [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total fair value of options</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested in Period, Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesPerEmployee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum number of shares authorized</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesPerEmployee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Maximum Number of Shares Per Employee</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ShareBasedPaymentArrangementNonvestedAwardOptionCostRecognizedTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ShareBasedPaymentArrangementNonvestedAwardOptionCostRecognizedTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Option, Cost Recognized Term</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ShareBasedPaymentArrangementNonvestedAwardOptionCostRecognizedTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of years where cost will be recognized over the term</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">Significant Accounting Policies</link:label>
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    <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>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CommonStockWarrantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Warrants [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Common Stock Warrant Activity [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Warrants issued</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="ck0002108121_RecentlyAdoptedAccountingPronouncementsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recently Adopted Accounting Pronouncements</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RecentlyAdoptedAccountingPronouncementsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recently Adopted Accounting Pronouncements [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RecentlyAdoptedAccountingPronouncementsPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The entire disclosure of accounting policies for recently adopted accounting pronouncements.</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/terseLabel">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_GovernmentAssistancePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Government Grants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GovernmentAssistancePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Government Assistance [Policy Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning balance, Number of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending balance, Number of warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsOutstandingNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Non-Option Equity Instruments, Outstanding, Number, Beginning Balance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning balance, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsOutstandingWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Non Option Equity Instruments Outstanding Weighted Average Exercise Price</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsGranted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Non-Option Equity Instruments, Granted</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsIssuedWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issued, Weighted Average Exercise Price</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsExercised_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Non-Option Equity Instruments, Exercised</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsEndingBalanceWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending balance, Weighted Average Exercise Price</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsEndingBalanceWeightedAverageExercisePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Non Option Equity Instruments Ending Balance Weighted Average Exercise Price</link:label>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DescriptionOfBusinessLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Description of Business [Line Items]</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>
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    <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 for Property and Equipment, Net</link:label>
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    <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>
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    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Inventory, non-current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Noncurrent, Total</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 income tax percentage</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, Total</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">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_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="ck0002108121_NetProceedsFromSubsequentClosingOfPrivatePlacementFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net proceeds from subsequent closing of private placement financing</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NetProceedsFromSubsequentClosingOfPrivatePlacementFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The net proceeds from subsequent closing of private placement financing.</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="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_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Year Focus</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Year Focus</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Table]</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="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_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Quarterly Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Quarterly Report</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityExTransitionPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Ex Transition Period</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Condensed Consolidated Balance Sheets Details [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalBalanceSheetDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Condensed Consolidated Balance Sheets Details</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalBalanceSheetDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Balance Sheet Disclosures [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesPurchasedForAward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of aggregate shares</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesPurchasedForAward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Shares Purchased for Award</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionForInventory_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="ck0002108121_ProvisionForInventory_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision for Inventory</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionForInventory_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of provision for inventory.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfInventoryNoncurrentTableTextBlock_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_ScheduleOfInventoryNoncurrentTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Inventory, Noncurrent [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCostsCapitalizedPrepaidAndOtherAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule for Prepaid Expenses and Other Current Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredCostsCapitalizedPrepaidAndOtherAssetsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Costs, Capitalized, Prepaid, and Other Assets Disclosure [Table Text Block]</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="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="ck0002108121_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="ck0002108121_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="ck0002108121_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="ck0002108121_CustomerDMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer D [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CustomerEMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer E [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryObsolescence_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory obsolescence</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryObsolescence_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory Obsolescence</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryObsolescence_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of inventory obsolescence.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_NoTradingSymbolFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">No Trading Symbol Flag</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="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_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_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, $0.0001 par value; 510,000,000 shares authorized and 106,313,117 shares issued and outstanding as of September 30, 2026; 110,048,016 shares authorized and 13,118,276 shares issued and outstanding as of December 31, 2025.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Issued</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Gross 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/terseLabel">Proceeds from issuance of common stock in connection with the Merger and private placement offering, net of paid transaction cost</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="ck0002108121_CondensedConsolidatedBalanceSheetsDetailsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Condensed Consolidated Balance Sheets Details [Table]</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/terseLabel">Condensed Consolidated Balance Sheets Details [Line Items]</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="ck0002108121_DocumentAndEntityInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label"></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="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_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="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">City Area Code</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other non-current liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilitiesNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Liabilities, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SettlementLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Settlement credit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SettlementLiabilitiesCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Settlement Liabilities, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForOtherCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision for Other Credit Losses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForOtherCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for credit losses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentStateAndLocalTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current state income tax</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CurrentStateAndLocalTaxExpenseBenefit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current State and Local Tax Expense (Benefit)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restricted cash in prepaid expenses and other current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash, Current</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Restricted cash in other non-current assets</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash, Noncurrent</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GovernmentAssistanceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Grant income</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GovernmentAssistanceAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Government Assistance, Income, Increase (Decrease)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CustomerFMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer F [Member]</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">Purchase of warrants</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="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Fiscal Year End Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Fiscal Year End Date</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfCustomersRevenueOrAccountsReceivableAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Customers Revenue or Accounts Receivable [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/terseLabel">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/label">Depreciation, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestExpenseOfferingCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Offerings cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoninterestExpenseOfferingCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Offering Cost, Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesNoncurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-term liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesNoncurrentAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities, Noncurrent [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease liabilities, non-current</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_OtherNoncurrentLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Other Non-Current Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNoncurrentLiabilitiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Noncurrent Liabilities [Table Text Block]</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="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_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="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_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="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_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="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_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, State or Province</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, State or Province</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of Legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Of Legacy Ionetix Redeemable Convertible Preferred Stock Into Common Stock Upon The Merger</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfLegacyIonetixRedeemableConvertiblePreferredStockIntoCommonStockUponTheMerger_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of conversion of legacy Ionetix redeemable convertible preferred stock into common stock upon the Merger.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants in settlement of a contingent equity arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Common Stock Warrants In Settlement Of A Contingent Equity Arrangement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockWarrantsInSettlementOfAContingentEquityArrangement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of common stock warrants in settlement of a contingent equity arrangement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CommonStockIssuedPursuantToTerminationAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Issued Pursuant to Termination Agreement [Member]</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">Cash flows from operating activities:</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_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">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/periodEndLabel">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/label">Shares, Outstanding</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">Basis of Presentation and 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_NoncashInvestingAndFinancingItemsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental cash flow disclosure:</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>
    <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="us-gaap_EquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders&#8217; Equity (Deficit) [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Reserved Shares of Common Stock for Future Issuance</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Stockholders Equity [Table Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in investing activities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Merger and private placement offering (in shares)</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period Shares Issuance of Common Stock In Connection with the Merger and Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_StockIssuedDuringPeriodSharesIssuanceOfCommonStockInConnectionWithTheMergerAndPrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The number of issuance of common stock in connection with the merger and private placement offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionForInventoryReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for inventory reserve</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionForInventoryReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision for Inventory Reserve</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProvisionForInventoryReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of provision for inventory reserve.</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">Shares price per shares</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="ck0002108121_ConvertiblePromissoryNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Convertible Promissory Notes [Member]</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/verboseLabel">Convertible Notes [Line Items]</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="ck0002108121_IssuanceOfCommonStockWithMergerAndPrivatePlacementOfferingTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of common stock with merger and private placement offering transaction cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockWithMergerAndPrivatePlacementOfferingTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents issuance of common stock with merger and private placement offering transaction cost.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of common stock in connection with subsequent private placement offering, net of transaction cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represent the amount of issuance of common stock in connection with subsequent private placement offering, net of transaction cost.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfRelatedPartyDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment of related party advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfRelatedPartyDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Related Party Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpenses_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_CostsAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Costs and Expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating expenses</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from investing activities:</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Agreement [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_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="ck0002108121_SharesAvailableForFutureIssuanceUnderThe2026EquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares available for future issuance under the 2026 Equity Incentive Plan [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_Rule10b51ArrangementModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Rule 10b5-1 Arrangement Modified [Flag]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_Rule10b51ArrangementModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Rule 10b5-1 arrangement modified.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonRule10b51ArrangementModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non-Rule 10b5-1 Arrangement Modified [Flag]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonRule10b51ArrangementModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non-rule 10b5-1 arrangement modified.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromFinancingAgreementsNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from financing agreements, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromFinancingAgreementsNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Financing Agreements, Net Of Issuance Costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromFinancingAgreementsNetOfIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from financing agreements, net of issuance costs.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfNotesPayable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment on promissory notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Notes Payable</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="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="ck0002108121_IssuancePfCommonStockWarrantsInConnectionWithIssuanceOfSafesAndPromissoryNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock warrants in connection with issuance of SAFEs and promissory notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuancePfCommonStockWarrantsInConnectionWithIssuanceOfSafesAndPromissoryNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance pf Common Stock Warrants in Connection With Issuance of Safes and Promissory Notes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuancePfCommonStockWarrantsInConnectionWithIssuanceOfSafesAndPromissoryNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of common stock warrants in connection with issuance of SAFEs and promissory notes.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DerivativeLiabilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPlacementAgentWarrantsInConnectionWithThePrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of placement agent warrants in connection with the private placement offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPlacementAgentWarrantsInConnectionWithThePrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance of Placement Agent Warrants in Connection With the Private Placement Offering</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPlacementAgentWarrantsInConnectionWithThePrivatePlacementOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of placement agent warrants in connection with the private placement offering.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Dividends_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Dividends_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheTerminationAgreementa_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in connection with the Termination Agreement</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheTerminationAgreementa_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Common Stock In Connection With The Termination Agreementa</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfCommonStockInConnectionWithTheTerminationAgreementa_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of common stock in connection with the termination agreement.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfRelatedPartyAdvanceIntoPromissoryNote_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Conversion of related party advance into promissory note</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfRelatedPartyAdvanceIntoPromissoryNote_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Of Related Party Advance Into Promissory Note</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ConversionOfRelatedPartyAdvanceIntoPromissoryNote_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of conversion of related party advance into promissory note.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Purchases of property and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Property, Plant, and Equipment, Total</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MakeWholeDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Make-whole derivative liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MakeWholeDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Make-Whole Derivative Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_MakeWholeDerivativeLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of make-whole derivative liability.</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_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="ck0002108121_ProceedsFromIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfPaidTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of common stock in connection with the subsequent private placement offering, net of paid transaction cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfPaidTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Common Stock in Connection With the Subsequent Private Placement Offering, Net of Paid Transaction Cost</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfCommonStockInConnectionWithTheSubsequentPrivatePlacementOfferingNetOfPaidTransactionCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from issuance of common stock in connection with the subsequent private placement offering, net of paid transaction cost.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance of SAFEs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Safes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromIssuanceOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from issuance of safes.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromRelatedPartyAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from related party advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromRelatedPartyAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Related Party Advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ProceedsFromRelatedPartyAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of proceeds from related party advances.</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 provision for 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, Total</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">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/label">Income Tax Expense (Benefit)</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">Convertible Notes [Abstract]</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">Convertible Notes</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_DebtInstrumentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Long-Term Debt Instruments [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPreferredStockUponConversionOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of preferred stock upon conversion of SAFEs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPreferredStockUponConversionOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Issuance Of Preferred Stock Upon Conversion Of Safes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_IssuanceOfPreferredStockUponConversionOfSafes_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of issuance of preferred stock upon conversion of SAFEs.</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">Gain on extinguishment of make-whole derivative liabilities</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, Total</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">Aggregate gross proceeds 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/label">Proceeds from Issuance of Private Placement</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/label">Cost of Revenue</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued expenses and other liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Other Accounts Payable and Accrued Liabilities</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid for income taxes</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxesPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Paid, before Refund Received</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from promissory notes, net of issuance costs</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Debt</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnNonCashInvestorAgreementSettlementExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on non-cash investor agreement settlement expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnNonCashInvestorAgreementSettlementExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss on Non-Cash Investor Agreement Settlement Expense</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LossOnNonCashInvestorAgreementSettlementExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of loss on non-cash investor agreement settlement expense.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonCashLossOnIssuanceOfSAFEsAndCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash loss on issuance of SAFEs and common stock warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonCashLossOnIssuanceOfSAFEsAndCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non-Cash Loss on Issuance of SAFEs and Common Stock Warrants</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonCashLossOnIssuanceOfSAFEsAndCommonStockWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of non-cash loss on issuance of SAFEs and common stock warrants.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOnTermLoan_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayment on 2023 Term Loan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOnTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment on Term Loan</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_RepaymentOnTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of repayment on term loan.</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/verboseLabel">Stockholders&#8217; Equity (Deficit)</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="ck0002108121_TransferOfPrepaidDepositToPropertyAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer of prepaid deposit to property and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransferOfPrepaidDepositToPropertyAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transfer of prepaid deposit to property and equipment</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_TransferOfPrepaidDepositToPropertyAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Transfer of prepaid deposit to property and equipment</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">Issuance of common stock warrants</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_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_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_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_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_InterestIncomeExpenseNonoperatingNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest income (expense), net</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNonoperatingNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Income (Expense), Nonoperating</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_LegacyIonetixSSeriesFRedeemableConvertiblePreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legacy Ionetix&#8217;S Series F Redeemable Convertible Preferred Stock [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfFairValueFinancialLiabilitiesOnARecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Fair Value Financial Liabilities on a Recurring Basis [Table]</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_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_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_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_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 [Member]</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">2027</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_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_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_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_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_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Four</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Five</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="us-gaap_ScheduleOfShortTermDebtTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfAggregateFairValueOfFinancialLiabilitiesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Aggregate Fair Value of Financial Liabilities [Table]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_ScheduleOfAggregateFairValueOfFinancialLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Aggregate Fair Value of Financial Liabilities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Inventory deposits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory Deposits</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InventoryDeposits_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of inventory deposits.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InstallationDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Installation deposit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InstallationDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Installation Deposit</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_InstallationDeposit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The amount of installation deposit.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_EquityFinancingEventDiscountPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity financing event discount percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_EquityFinancingEventDiscountPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Financing Event Discount Percentage</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_EquityFinancingEventDiscountPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of equity financing event discount.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SimpleAgreementForFutureEquityLiabilityTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SAFE Liability</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SimpleAgreementForFutureEquityLiabilityTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Simple Agreement for Future Equity Liability [Text Block]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_SimpleAgreementForFutureEquityLiabilityTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The entire disclosure of simple agreement for future equity liability.</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeasesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases [Abstract]</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">Operating Leases</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="ck0002108121_NonInterestBearingPayableOnDemandAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-interest-bearing, payable-on-demand advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonInterestBearingPayableOnDemandAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non-Interest-Bearing, Payable-On-Demand Advances</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_NonInterestBearingPayableOnDemandAdvances_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of non-interest-bearing, payable-on-demand advances.</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_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_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Asset, Class [Axis]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Asset, Class [Domain]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Production and laboratory equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComputerEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Computer equipment [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComputerEquipmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Computer Equipment [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 [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_SoftwarePurchasedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Computer software [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SoftwarePurchasedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Software, Purchased [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_DiagnosticDrugAndMedicalRadioisotopesSalesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Diagnostic drug and medical radioisotopes sales [Member]</link:label>
    <link:label xml:lang="en-US" xlink:type="resource" xlink:label="ck0002108121_CyclotronSystemSalesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cyclotron system and parts sales [Member]</link:label>
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