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Schedule of Real Estate Under Construction (Details) (Parenthetical) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2024	Dec. 31, 2023
Real Estate [Abstract]
Direct and indirect project costs	$ 5.4	$ 3.4

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- Definition

Direct and indirect project costs

+ References

No definition available.

+ Details

Name:	OZ_DirectAndIndirectProjectCosts
Namespace Prefix:	OZ_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

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- References

No definition available.

+ Details

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