Fees and Related Party Transactions (Details) - USD ($)	3 Months Ended
	Mar. 31, 2025	Mar. 31, 2024
Capital Unit [Line Items]
Advisory fees	$ 141,370	$ 132,311
Sponsor fees	$ 56,233	65,440
Percentage of incentive allocation	20.00%
Incentive Fee Expense	$ 27,535	171,726
Administrator's fees	13,243	11,047
Professional fees	76,499	55,991
Operating expenses	$ 5,899	5,569
Class 2 Units [Member]
Capital Unit [Line Items]
Advisory fees at annual rate of the Members' Capital	1.50%
Sponsor fees at annual rate of the Members' Capital	1.25%
Class 0 Units [Member]
Capital Unit [Line Items]
Advisory fees at annual rate of the Members' Capital	1.50%
Sponsor fees at annual rate of the Members' Capital	0.50%
Class 3-A Units [Member]
Capital Unit [Line Items]
Advisory fees at annual rate of the Members' Capital	1.50%
Sponsor fees at annual rate of the Members' Capital	0.00%
Class 3-B Units [Member]
Capital Unit [Line Items]
Advisory fees at annual rate of the Members' Capital	2.00%
Sponsor fees at annual rate of the Members' Capital	0.00%
Class 0, Class 2, Class 3-A and Class 3-B Units [Member]
Capital Unit [Line Items]
Advisory fees	$ 141,370	132,311
Class 0 and Class 2 Units [Member]
Capital Unit [Line Items]
Sponsor fees	$ 56,233	$ 65,440