Transactions with Related Parties, Capital Commitments (Details) - USD ($)	9 Months Ended	12 Months Ended
	Sep. 30, 2024	Dec. 31, 2023
Investment Company, Capital Commitments [Abstract]
Capital commitments	$ 248,622,762	$ 218,337,762
Star Mountain Lower Middle-Market (Offshore) Ltd [Member]
Investment Company, Capital Commitments [Abstract]
Capital commitments	$ 26,388,800	$ 17,313,800
Ownership percentage	10.61%	7.93%
Capital contributions payable	$ 0	$ 110,891