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v3.24.4

Derivative Warrant Liabilities (Details) - shares | 12 Months Ended |
--- | --- | ---
Dec. 31, 2023 | Sep. 30, 2024
Derivative Warrant Liabilities [Line Items] |  |
Private Warrants outstanding | 343,125 | 343,125
Private Warrants outstanding | 343,125 |

X
- Definition Number of shares in sale of private placement units + References No definition available. + Details
Name: | oaku_StockIssuedDuringPeriodShareSaleOfPrivatePlacementUnitsinShares
Namespace Prefix: | oaku_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Definition Number of warrants or rights outstanding. + References No definition available. + Details
Name: | us-gaap_ClassOfWarrantOrRightOutstanding
Namespace Prefix: | us-gaap_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

X
- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_DerivativesFairValueLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration