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Unitholders' Deficit - Units Authorized, Issued and Outstanding (Details) - shares
Sep. 30, 2024
Dec. 31, 2023
Class B Preferred Units    
Class of Stock [Line Items]    
Preferred units authorized (in shares) 6,722,562 4,639,557
Preferred units issued (in shares) 5,609,951 4,109,961
Preferred units outstanding (in shares) 5,609,951 4,109,961
Class B-1 Preferred Units    
Class of Stock [Line Items]    
Preferred units authorized (in shares) 2,600,000 2,600,000
Preferred units issued (in shares) 342,608 342,608
Preferred units outstanding (in shares) 342,608 342,608
Class A Units    
Class of Stock [Line Items]    
Common units authorized (in shares) 10,975,000 10,975,000
Common units issued (in shares) 10,875,000 10,875,000
Common units outstanding (in shares) 10,875,000 10,875,000
Class C Units    
Class of Stock [Line Items]    
Common units authorized (in shares) 1,585,125 1,585,125
Common units issued (in shares) 1,570,125 1,570,125
Common units outstanding (in shares) 1,570,125 1,570,125