Fees and Related Party Transactions (Details) - USD ($)	3 Months Ended
	Mar. 31, 2024	Mar. 31, 2023
Advisory Fees [Abstract]
Advisory fees	$ 132,311	$ 120,223
Sponsor Fees [Abstract]
Sponsor fees	$ 65,440	61,844
Incentive Allocation [Abstract]
Percentage of incentive allocation	20.00%
Incentive allocation	$ 171,726	(430)
Administrator's Fee [Abstract]
Administrator's fee	11,047	10,164
Professional Fees [Abstract]
Professional fees	55,991	7,799
Operating Expenses [Abstract]
Operating expenses	$ 5,569	5,406
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 and Class 2 Units [Member]
Advisory Fees [Abstract]
Advisory fees	$ 132,311	120,223
Sponsor Fees [Abstract]
Sponsor fees	$ 65,440	$ 61,844