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Fees and Related Party Transactions (Details) - USD ($)
7 Months Ended 12 Months Ended
Dec. 31, 2022
Dec. 31, 2022
Dec. 31, 2021
Advisory Fees [Abstract]      
Advisory fees at annual rate of the Members' Capital   1.50%  
Advisory fees   $ 496,169 $ 441,730
Sponsor Fees [Abstract]      
Sponsor Fees   $ 257,756 229,885
Incentive Allocation [Abstract]      
Percentage of incentive allocation   20.00%  
Incentive allocation   $ 1,802,151 425,718
Administrator's Fee [Abstract]      
Administrator's fee   41,663 37,556
Professional Fees [Abstract]      
Professional fees   192,946 167,247
Operating Expenses [Abstract]      
Operating expenses $ 11,768 $ 11,768 $ 0
Class 0 Units [Member]      
Sponsor Fees [Abstract]      
Sponsor fees at annual rate of the Members' Capital   0.50%  
Class 2 Units [Member]      
Sponsor Fees [Abstract]      
Sponsor fees at annual rate of the Members' Capital   1.25%