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Real Estate (Tenant Reimbursements) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2023	Sep. 30, 2022
Real Estate [Abstract]
Tenant expense reimbursements	$ 0.7	$ 1.0	$ 1.5	$ 2.4

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- Definition

Tenant Expense Reimbursements

+ References

No definition available.

+ Details

Name:	star_TenantExpenseReimbursements
Namespace Prefix:	star_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
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