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Statements of Changes In Shareholders’ Deficit (Parentheticals)	12 Months Ended
	Dec. 31, 2024 shares
Statement of Stockholders' Equity [Abstract]
Sale of Private Placement Class A Shares (in Shares)	358,000

X

- Definition

Number of shares sale of private placement.

+ References

No definition available.

+ Details

Name:	beagu_SaleOfPrivatePlacementShares
Namespace Prefix:	beagu_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	us-gaap_StatementOfStockholdersEquityAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration