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v3.26.1

Fair Value Measurements (Details) - USD ($) |  | 12 Months Ended
--- | --- | ---
Dec. 09, 2025 | Dec. 31, 2025
Fair Value Measurements [Abstract] |  |
Change in fair value of over-allotment option liability | $ 236,900 |
Percentage of business combination completion |  | 100.00%

X
- Definition Amount of gain on over-allotment liability. + References No definition available. + Details
Name: | beagu_GainOnOverallotmentLiabilit
Namespace Prefix: | beagu_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Percentage of de-SPAC completion. + References No definition available. + Details
Name: | beagu_PercentageOfDeSPACCompletion
Namespace Prefix: | beagu_
Data Type: | dtr:percentItemType
Balance Type: | na
Period Type: | duration

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