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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