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Mortgage Payable and Other Secured Financing - Summary of Partnerships' Mortgages Payable, Net of Deferred Financing Costs (Details) - USD ($)
 9 Months Ended
Sep. 30, 2023
Dec. 31, 2022
Mortgage Loans On Real Estate [Line Items]    
Outstanding Mortgage Payable, net $ 26,512,747 $ 1,690,000
Period End Rate 7.92%  
Mortgages payable [Member] | Real Estate [Member] | Vantage at San Marcos [Member]    
Mortgage Loans On Real Estate [Line Items]    
Outstanding Mortgage Payable, net [1] $ 1,690,000 $ 1,690,000
Year Acquired [1] 2020  
Stated Maturity [1] 2023-11  
Variable / Fixed [1] Variable  
Period End Rate [1] 9.25%  
Mortgages payable [Member] | Real Estate [Member] | Suites on Paseo [Member]    
Mortgage Loans On Real Estate [Line Items]    
Outstanding Mortgage Payable, net $ 24,822,747  
Year Acquired 2023  
Stated Maturity 2024-03  
Variable / Fixed Variable  
Period End Rate [2] 7.83%  
[1] The mortgage payable relates to a consolidated VIE for future development of a market-rate multifamily property (Note 5).
[2] The mortgage payable has a stated rate of Term SOFR + 2.50%. The Partnership has entered into an interest rate swap transaction with a notional amount totaling the outstanding principal on the mortgage payable. The interest rate swap effectively fixes the interest rate on the mortgage payable to 5.54%. See Note 18 for further information on the interest rate swap.