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Commitments and Contingencies - Additional Information (Details) - USD ($) $ in Millions | 1 Months Ended | 9 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | ---
Nov. 30, 2024 | Sep. 30, 2025 | Dec. 31, 2024 | Mar. 31, 2025 | May 31, 2024
Commitments and Contingencies Disclosure [Abstract] |  |  |  |  |
One-time payment |  |  |  |  | $ 0.5
One-time milestone payment |  |  |  |  | $ 3.0
Milestone achieved and payment made | $ 3.0 |  |  |  |
Clinical material ordered for phase 2 |  |  | $ 0.9 |  |
Remaining payment of clinical material |  |  |  | $ 0.6 |
Percentage of deposit equal to estimated clinical material costs |  |  | 30.00% |  |
Development and manufacturing costs incurred for phase 3 |  | $ 5.1 |  |  |
Prepayment of development and manufacturing costs for phase three |  | $ 2.5 |  |  |

X
- Definition Clinical material ordered for phase 2. + References No definition available. + Details
Name: | bbnx_ClinicalMaterialOrderedForPhaseTwo
Namespace Prefix: | bbnx_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Clinical material remaining payment. + References No definition available. + Details
Name: | bbnx_ClinicalMaterialRemainingPayment
Namespace Prefix: | bbnx_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Development and manufacturing costs Incurred for phase three. + References No definition available. + Details
Name: | bbnx_DevelopmentAndManufacturingCostsIncurredForPhaseThree
Namespace Prefix: | bbnx_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Milestone achieved and payment made. + References No definition available. + Details
Name: | bbnx_MilestoneAchievedAndPaymentMade
Namespace Prefix: | bbnx_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition One time milestone payment. + References No definition available. + Details
Name: | bbnx_OneTimeMilestonePayment
Namespace Prefix: | bbnx_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition One time payment. + References No definition available. + Details
Name: | bbnx_OneTimePayment
Namespace Prefix: | bbnx_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Percentage of deposit equal to estimated clinical material costs. + References No definition available. + Details
Name: | bbnx_PercentageOfDepositEqualToEstimatedClinicalMaterialCosts
Namespace Prefix: | bbnx_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | duration

X
- Definition Prepayment of development and manufacturing costs for phase three. + References No definition available. + Details
Name: | bbnx_PrepaymentOfDevelopmentAndManufacturingCostsForPhaseThree
Namespace Prefix: | bbnx_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- References No definition available. + Details
Name: | us-gaap_CommitmentsAndContingenciesDisclosureAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration