Fees and Related Party Transactions (Details) - USD ($)	3 Months Ended		6 Months Ended
	Jun. 30, 2024	Jun. 30, 2023	Jun. 30, 2024	Jun. 30, 2023
Advisory Fees [Abstract]
Advisory fees	$ 132,630	$ 125,463	$ 264,941	$ 245,686
Sponsor Fees [Abstract]
Sponsor fees	65,914	63,213	$ 131,354	125,057
Incentive Allocation [Abstract]
Percentage of incentive allocation			20.00%
Incentive allocation	189	0	$ 171,915	(430)
Administrator's Fee [Abstract]
Administrator's fees	10,885	10,736	21,932	20,900
Professional Fees [Abstract]
Professional fees	71,044	78,292	127,035	86,091
Operating Expenses [Abstract]
Operating expenses	$ 5,793	$ 5,207	$ 11,362	10,613
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			$ 264,941	245,686
Class 0 and Class 2 Units [Member]
Sponsor Fees [Abstract]
Sponsor fees			$ 131,354	$ 125,057