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Loans Payable - Additional Information (Detail) - USD ($)
3 Months Ended 9 Months Ended
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
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Debt Instrument [Line Items]                                        
Debt instrument, outstanding principal amount                               $ 482,118,434   $ 482,118,434   $ 359,887,184
Loan payable                               476,964,233   476,964,233   356,088,714
Deferred financing costs, net                               5,154,201   5,154,201   3,798,470
Accumulated amortization                               1,067,377   1,067,377   488,937
Interest expense                               4,980,227 $ 2,577,279 12,441,046 $ 5,495,873  
Accrued interest payable                               1,522,363   1,522,363   802,286
Amortization of deferred financing costs                               215,895 $ 121,855 578,440 $ 177,121  
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                    
Percentage of cap rate                   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                          
Debt Instrument, Interest Rate Terms             3.39                          
Valencia Property [Member] | Valencia DST [Member] | LIBOR [Member]                                        
Debt Instrument [Line Items]                                        
Line of Credit Facility, Interest Rate During Period             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%                          
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                            
Credit facility additional borrowing capacity           100,000,000.0                            
Senior secured revolving credit facility, maximum borrowing capacity           $ 200,000,000                            
Credit facility maturity date           Jul. 23, 2024                            
Senior security revolving credit facility, current borrowing capacity                               35,400,000   35,400,000    
Citizens Bank, N.A. | Minimum [Member] | LIBOR [Member] | Senior Secured Revolving Credit Facility                                        
Debt Instrument [Line Items]                                        
Debt Instrument, Basis Spread on Variable Rate           1.75%                            
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. | Maximum [Member] | LIBOR [Member] | Senior Secured Revolving Credit Facility                                        
Debt Instrument [Line Items]                                        
Debt Instrument, Basis Spread on Variable Rate           2.25%                            
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%                            
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                                      
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                               476,964,233   476,964,233   356,088,714
Deferred financing costs, net                               5,154,201   5,154,201   3,798,470
Accumulated amortization                               $ 1,067,377   $ 1,067,377   $ 488,937