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Loan Receivable, net - Related Party (Details) - USD ($) $ in Thousands			3 Months Ended		9 Months Ended
		Mar. 28, 2025	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2025	Sep. 30, 2024	Feb. 04, 2025	Dec. 31, 2024	Mar. 31, 2023
Loan receivable
Interest income	[1]		$ 3,085	$ 2,384	$ 8,130	$ 7,098
Related party
Loan receivable
Interest income			2,400	2,400	7,100	7,100
Secured Term Loan Facility Amendment
Loan receivable
Extended loan maturity period		1 year
Star Holdings | Star Holdings Term Loan Facility | Related party
Loan receivable
Principal amount			115,000		115,000			$ 115,000
Interest income			2,400	2,400	$ 7,100	7,100
Fixed interest rate					8.00%
Loan repayment period					5 days
Excess unrestricted cash applied for loan repayment					$ 50,000
Star Holdings | Secured Term Loan Facility | Related party
Loan receivable
Principal amount									$ 115,000
Recovery of credit losses			$ 2	$ 100	$ (100)	$ (200)
Maximum
Loan receivable
Amount authorized for repurchase of common stock							$ 50,000
Maximum | Star Holdings | Star Holdings Term Loan Facility | Related party
Loan receivable
Fixed interest rate					10.00%
Maximum | Star Holdings | Incremental Term Loan Facility | Related party
Loan receivable
Principal amount									$ 25,000
Star Holdings | Maximum | Secured Term Loan Facility Amendment
Loan receivable
Amount authorized for repurchase of common stock		$ 10,000
[1] For the three months ended September 30, 2025 and 2024, includes $2.4 million and $2.4 million, respectively, of interest income from related parties. For the nine months ended September 30, 2025 and 2024, includes $7.1 million and $7.1 million, respectively, of interest income from related parties.

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The stated interest rate of loan receivable.

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The amended extension period pertaining to the related party loan receivable maturity date.

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The period within delivery of financial statements in which the loans receivable will be prepaid.

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The excess amount of unrestricted cash which will be applied for repayment of loan receivable.

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Amount authorized for purchase of share under share repurchase plan. Includes, but is not limited to, repurchase of stock and unit of ownership.

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Amount of operating interest income, including, but not limited to, amortization and accretion of premiums and discounts on securities.

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