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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