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Loans Payable - Additional Information (Detail) - USD ($)
3 Months Ended 6 Months Ended
Jan. 10, 2024
Jun. 30, 2023
Apr. 27, 2023
Aug. 31, 2022
Aug. 09, 2022
Apr. 22, 2022
Dec. 06, 2021
Nov. 04, 2021
Jul. 23, 2021
Jul. 07, 2021
Mar. 26, 2021
Feb. 25, 2021
Feb. 24, 2021
Nov. 26, 2019
Jul. 31, 2018
Feb. 01, 2018
Jul. 11, 2017
Nov. 15, 2016
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Dec. 31, 2023
Sep. 29, 2023
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount                                     $ 545,768,434   $ 545,768,434   $ 533,768,434  
Loan payable                                     541,635,052   541,635,052   529,169,778  
Deferred financing costs, net                                     4,133,382   4,133,382   4,598,656  
Accumulated amortization                                     2,910,013   2,910,013   2,295,932  
Interest expense                                     6,571,670 $ 5,565,825 13,457,555 $ 10,895,072    
Accrued interest payable                                     1,826,570   1,826,570   1,932,231  
Amortization of deferred financing costs                                     307,042 226,286 614,081 450,057    
SOFR [Member] | Valencia swap [Member]                                                
Debt Instrument [Line Items]                                                
Debt Instrument, Basis Spread on Variable Rate     2.03%                                          
UBS AG [Member] | GR Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount                                 $ 4,500,000              
Debt instrument, frequency of periodic interest payment                                 The GR Loan provides for monthly interest payments which accrue through the 10th of each month.              
Interest rate                                 4.11%              
Debt instrument repayment date                                 Jul. 06, 2027              
Interest rate                                 3.00%              
Debt instrument maturity date                                 Jun. 30, 2032              
Description of variable rate basis                                 revised interest rate of 3.00% per annum plus the greater of the initial interest rate or the 10 year swap yield through the maturity date June 30, 2032.              
UBS AG [Member] | FM Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount                               $ 21,000,000                
Debt instrument, frequency of periodic interest payment                               The FM Loan provides for monthly interest payments and bears interest at an initial fixed rate of 4.43% per annum through the anticipated repayment date, February 6, 2028 (the “FM Anticipated Repayment Date”), and thereafter at revised rate of 3.00% per annum plus the greater of the initial interest rate or the 10 year swap yield as of the first business day after the FM Anticipated Repayment Date.                
Interest rate                               4.43%                
Debt instrument repayment date                               Feb. 06, 2028                
Interest rate                               3.00%                
Description of variable rate basis                               revised rate of 3.00% per annum plus the greater of the initial interest rate or the 10 year swap yield as of the first business day after the FM Anticipated Repayment Date.                
CCRE [Member] | CO Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount                             $ 26,550,000                  
Debt instrument, frequency of periodic interest payment                             The CO Loan provides for monthly interest payments and bears interest at an initial fixed rate of 4.94% per annum through the anticipated repayment date, August 6, 2028 (the “CO Anticipated Repayment Date”), and thereafter at an increased rate of 2.50% per annum plus the greater of the initial interest rate or the 10 year swap yield as of the first business day after the CO Anticipated Repayment Date.                  
Interest rate                             4.94%                  
Debt instrument repayment date                             Aug. 06, 2028                  
Interest rate                             2.50%                  
Description of variable rate basis                             increased rate of 2.50% per annum plus the greater of the initial interest rate or the 10 year swap yield as of the first business day after the CO Anticipated Repayment Date.                  
Citigroup Global Markets Realty Corp [Member] | DST Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount                                   $ 22,495,184            
Debt instrument, frequency of periodic interest payment                                   The DST Loan provides for monthly interest payments and bears interest at an initial fixed rate of 4.59% per annum through anticipated repayment date, December 1, 2026 (the “DST Anticipated Repayment Date”), and thereafter at an increased rate of 3.00% per annum plus the greater of the initial interest rate or the 10 year swap yield as of the first business day after the DST Anticipated Repayment Date.            
Interest rate                                   4.59%            
Debt instrument repayment date                                   Dec. 01, 2026            
Interest rate                                   3.00%            
Description of variable rate basis                                   increased rate of 3.00% per annum plus the greater of the initial interest rate or the 10 year swap yield as of the first business day after the DST Anticipated Repayment Date.            
Goldman Sachs Bank USA [Member] | Buchanan Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount                           $ 9,600,000                    
Debt instrument, frequency of periodic interest payment                           The Buchanan Loan provides for monthly interest payments and bears interest at an initial fixed rate of 3.52% per annum through the anticipated repayment date, December 1, 2029 (the “Buchanan Anticipated Repayment Date”), and thereafter at revised rate of 2.50% per annum plus the greater of the initial interest rate or the 10 year swap yield as of the first business day after the Buchanan Anticipated Repayment Date.                    
Interest rate                           3.52%                    
Debt instrument repayment date                           Dec. 01, 2029                    
Interest rate                           2.50%                    
Description of variable rate basis                           revised rate of 2.50% per annum plus the greater of the initial interest rate or the 10 year swap yield as of the first business day after the Buchanan Anticipated Repayment Date.                    
CBRE Multifamily Capital, Inc. [Member] | Keller Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount                       $ 31,277,000                        
Debt instrument, frequency of periodic interest payment                       The Loan provides for monthly interest payments and bears interest at an initial floating rate of 2.203% per annum (which will fluctuate monthly), through the maturity date of March 1, 2031.                        
Debt instrument maturity date                       Mar. 01, 2031                        
Debt instrument, floating interest rate                       2.203%                        
CBRE Multifamily Capital, Inc. [Member] | Keller Loan [Member] | After One Year From Effective Date [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, prepayment premium percentage of principal amount                       1.00%                        
CBRE Multifamily Capital, Inc. [Member] | Keller Loan [Member] | After One Year From Effective Date [Member] | Minimum [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, term                       7 years                        
CBRE Multifamily Capital, Inc. [Member] | Keller Loan [Member] | After One Year From Effective Date [Member] | Maximum [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, term                       10 years                        
SMBC Capital Markets, Inc. [Member]                                                
Debt Instrument [Line Items]                                                
Rate cap agreement receivable start date                         Feb. 25, 2021                      
Rate cap agreement receivable end date Mar. 01, 2024                       Mar. 01, 2024                      
Percentage of cap rate 3.74%                       1.24%                      
Arbor Private Label, LLC [Member] | Summerfield Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount                     $ 76,575,000                          
Debt instrument, frequency of periodic interest payment                     The Summerfield Loan provides for monthly interest payments and bears a fixed interest rate of 3.650% per annum, through the maturity date of April 1, 2031.                          
Interest rate                     3.65%                          
Debt instrument maturity date                     Apr. 01, 2031                          
Arbor Private Label, LLC [Member] | Kacey Lender [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount               $ 40,640,000                                
Debt instrument, frequency of periodic interest payment               The Kacey Loan provides for monthly interest payments and bears a fixed interest rate of 3.536% per annum, through the maturity date of December 1, 2031.                                
Interest rate               3.536%                                
Debt instrument maturity date               Dec. 01, 2031                                
Arbor Private Label, LLC [Member] | Industry Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount             $ 43,200,000                                  
Debt instrument, frequency of periodic interest payment             The Industry Loan provides for monthly interest payments and bears a fixed interest rate of 3.357% per annum, through the maturity date of January 1, 2032.                                  
Interest rate             3.357%                                  
Debt instrument maturity date             Jan. 01, 2032                                  
Valencia Property [Member] | Valencia DST [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount                   $ 55,200,000                            
Debt instrument, frequency of periodic interest payment                   The Valencia Loan provides for monthly interest payments and bears interest on (i) one hundred ninety-five basis points (1.95%) or (ii) the sum of Auto LIBOR plus the Rate Margin of (1.95%), through the maturity date of July 8, 2031.                            
Interest rate     1.95%                                          
Debt instrument maturity date     Jul. 08, 2031             Jul. 08, 2031                            
Debt Instrument, Interest Rate Terms                   3.39                            
Debt Instrument, Basis Spread on Variable Rate                   1.95%                            
Valencia Property [Member] | Valencia DST [Member] | Valencia swap [Member]                                                
Debt Instrument [Line Items]                                                
Debt Instrument, Interest Rate Terms     3.39                                          
Valencia Property [Member] | Valencia DST [Member] | LIBOR [Member]                                                
Debt Instrument [Line Items]                                                
Debt Instrument, Basis Spread on Variable Rate                   1.95%                            
Valencia Property [Member] | Valencia DST [Member] | LIBOR [Member] | Valencia swap [Member]                                                
Debt Instrument [Line Items]                                                
Debt Instrument, Basis Spread on Variable Rate                   1.95%                            
Valencia Property [Member] | Valencia DST [Member] | SOFR [Member]                                                
Debt Instrument [Line Items]                                                
Debt Instrument, Basis Spread on Variable Rate     2.03%                                          
ON3 Property [Member] | ON3 DST [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount           $ 66,731,250                                    
Debt instrument, frequency of periodic interest payment           The ON3 Loan provides for monthly interest payments and bears a fixed interest rate of 4.073% per annum, through the maturity date of May 1, 2032.                                    
Interest rate           4.073%                                    
Debt instrument maturity date           May 01, 2032                                    
Citizens Bank, N.A. | Senior Secured Revolving Credit Facility                                                
Debt Instrument [Line Items]                                                
Senior secured revolving credit facility                 $ 100,000,000                              
Senior secured revolving credit facility, maximum borrowing capacity                 $ 200,000,000                             $ 125,000,000
Credit facility maturity date                 Jul. 23, 2024                              
Senior security revolving credit facility, current borrowing capacity                                     76,500,000   76,500,000      
Citizens Bank, N.A. | Minimum [Member] | Base Rate [Member] | Senior Secured Revolving Credit Facility                                                
Debt Instrument [Line Items]                                                
Debt Instrument, Basis Spread on Variable Rate                 0.75%                              
Citizens Bank, N.A. | Minimum [Member] | SOFR [Member] | Senior Secured Revolving Credit Facility                                                
Debt Instrument [Line Items]                                                
Debt Instrument, Basis Spread on Variable Rate                 1.75%                              
Citizens Bank, N.A. | Maximum [Member] | Base Rate [Member] | Senior Secured Revolving Credit Facility                                                
Debt Instrument [Line Items]                                                
Debt Instrument, Basis Spread on Variable Rate                 1.25%                              
Citizens Bank, N.A. | Maximum [Member] | SOFR [Member] | Senior Secured Revolving Credit Facility                                                
Debt Instrument [Line Items]                                                
Debt Instrument, Basis Spread on Variable Rate                 2.25%                              
West End Property [Member] | West End Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount         $ 29,000,000                                      
Debt instrument, frequency of periodic interest payment         The West End Loan provides for monthly interest payments and bears a fixed interest rate of 4.754% per annum, through the maturity date of September 1, 2032.                                      
Interest rate         4.754%                                      
Debt instrument maturity date         Sep. 01, 2032                                      
Palms Property [Member] | Palms Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount       $ 20,000,000                                        
Debt instrument, frequency of periodic interest payment       The Palms Loan provides for monthly interest payments and bears a fixed interest rate of 4.625% per annum, through the maturity date of September 1, 2032.                                        
Interest rate       4.625%                                        
Debt instrument maturity date       Sep. 01, 2032                                        
Pearland Property [Member] | Pearland Loan [Member]                                                
Debt Instrument [Line Items]                                                
Debt instrument, outstanding principal amount   $ 22,500,000                                   $ 22,500,000   $ 22,500,000    
Debt instrument, frequency of periodic interest payment   The Pearland Loan provides for monthly interest payments and bears a fixed interest rate of 5.82% per annum, through the maturity date of July 1, 2033.                                            
Interest rate   5.82%                                   5.82%   5.82%    
Debt instrument maturity date   Jul. 01, 2033                                            
UBS AG, CCRE, Citigroup Global Markets Realty Corp, Goldman Sachs Bank USA, CBRE Multifamily Capital Inc and Arbor Private Label LLC [Member]                                                
Debt Instrument [Line Items]                                                
Loan payable                                     541,635,052   541,635,052   529,169,778  
Deferred financing costs, net                                     4,133,382   4,133,382   4,598,656  
Accumulated amortization                                     $ 2,910,013   $ 2,910,013   $ 2,295,932