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Property Loans - Additional Information (Details) - USD ($) | 1 Months Ended | 3 Months Ended | 9 Months Ended |  |  |  |
--- | --- | --- | --- | --- | --- | --- | ---
Jun. 30, 2023 | Sep. 30, 2022 | Aug. 31, 2022 | Apr. 30, 2022 | Mar. 31, 2022 | Jan. 31, 2022 | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2023 | Sep. 30, 2022 | Aug. 31, 2023 | Jan. 01, 2023 | Dec. 31, 2022 | Jun. 30, 2022
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Allowance for credit losses |  |  |  |  |  |  |  |  |  |  |  | $ 5,900,000 |  |
Advanced additional funds |  |  |  |  |  |  |  |  | $ 30,125,762 | $ 84,680,165 |  |  |  |
Other interest income |  |  |  |  |  |  | $ 4,621,098 | $ 4,126,695 | 13,677,110 | $ 8,465,788 |  |  |  |
Property Loans [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Allowance for credit losses |  |  |  |  |  |  | 2,100,000 |  | 2,100,000 |  |  |  |  |
Accrued interest receivable |  |  |  |  |  |  | $ 1,600,000 |  | 1,600,000 |  |  |  | $ 3,200,000 |
Live 929 Apartments [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Allowance for credit losses |  |  |  |  |  |  |  |  |  |  |  | $ 495,000 |  |
Amount received as payment in full for outstanding principal and interest on a property loan |  |  |  |  |  | $ 1,000,000 |  |  |  |  |  |  |  |
Ohio Properties [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Amount received as payment in full for outstanding principal and interest on a property loan |  |  |  |  | $ 2,400,000 |  |  |  |  |  |  |  |  |
Accrued interest redemption on notes receivable |  |  |  |  | 4,300,000 |  |  |  |  |  |  |  |  |
Other interest income |  |  |  |  | $ 1,700,000 |  |  |  |  |  |  |  |  |
Greens Property [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accrued interest redemption on notes receivable |  |  |  |  |  |  |  |  | $ 1,600,000 |  |  |  |  |
Scharbauer Flats Apartments [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Partnership recognized loan fee | $ 33,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Loan maturity date | Jan. 01, 2024 |  |  |  |  |  |  |  |  |  |  |  |  |
Poppy Grove Apartments [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Amount to paid for outstanding principal and interest on a note receivable |  |  |  | $ 825,000 |  |  |  |  |  |  |  |  |  |
Advanced additional funds |  | $ 900,000 |  |  |  |  |  |  |  |  |  |  |  |
Magnolia Heights [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property loan commitments |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 10,300,000
Sandy Creek Apartments [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property loan commitments |  |  |  |  |  |  |  |  |  |  | $ 7,800,000 |  |  |
Magnolia Crossing [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Amount received as payment in full for outstanding principal and interest on a property loan |  | 14,100,000 |  |  |  |  |  |  |  |  |  |  |  |
Cross Creek Property [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property Loans Net Of Loan Loss Allowance [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Amount received as payment in full for outstanding principal and interest on a property loan |  | 11,400,000 |  |  |  |  |  |  |  |  |  |  |  |
Accrued interest redemption on notes receivable |  | 1,700,000 |  |  |  |  |  |  |  |  |  |  |  |
Advanced additional funds |  |  | $ 7,700,000 |  |  |  |  |  |  |  |  |  |  |
Other interest income |  | 1,700,000 |  |  |  |  |  |  |  |  |  |  |  |
Redemption proceeds received |  | $ 13,000,000 |  |  |  |  |  |  |  |  |  |  |  |

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