Fees and Related Party Transactions (Details) - USD ($)	3 Months Ended		9 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023
Advisory Fees [Abstract]
Advisory fees	$ 131,011	$ 137,783	$ 395,952	$ 383,469
Sponsor Fees [Abstract]
Sponsor fees	63,932	68,596	$ 195,286	193,653
Incentive Allocation [Abstract]
Percentage of incentive allocation			20.00%
Incentive allocation	0	377,471	$ 171,915	377,041
Administrator's Fee [Abstract]
Administrator's fees	10,697	11,594	32,629	32,494
Professional Fees [Abstract]
Professional fees	34,911	58,279	161,946	144,370
Operating Expenses [Abstract]
Operating expenses	$ 5,357	$ 5,347	$ 16,719	15,960
Class 0 Units [Member]
Advisory Fees [Abstract]
Advisory fees at annual rate of the Members' Capital			1.50%
Sponsor Fees [Abstract]
Sponsor fees at annual rate of the Members' Capital			0.50%
Class 2 Units [Member]
Advisory Fees [Abstract]
Advisory fees at annual rate of the Members' Capital			1.50%
Sponsor Fees [Abstract]
Sponsor fees at annual rate of the Members' Capital			1.25%
Class 3-A Units [Member]
Advisory Fees [Abstract]
Advisory fees at annual rate of the Members' Capital			1.50%
Sponsor Fees [Abstract]
Sponsor fees at annual rate of the Members' Capital			0.00%
Class 3-B Units [Member]
Advisory Fees [Abstract]
Advisory fees at annual rate of the Members' Capital			2.00%
Sponsor Fees [Abstract]
Sponsor fees at annual rate of the Members' Capital			0.00%
Class 0, Class 2, and Class 3-B Units [Member]
Advisory Fees [Abstract]
Advisory fees			$ 395,952	383,469
Class 0 and Class 2 Units [Member]
Sponsor Fees [Abstract]
Sponsor fees			$ 195,286	$ 193,653