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Related Party Transactions - Summary of Related Party Carrying Value of Investments In Advances (Detail) - USD ($) | Sep. 30, 2023 | Dec. 31, 2022 | Dec. 31, 2021
--- | --- | --- | ---
Related Party Transaction [Line Items] |  |  |
Debt |  | $ 35,000,000 | $ 6,800,000
Total investments in and advances | $ 34,331,729 | 62,371,167 | 12,404,380
SSGT III OP |  |  |
Related Party Transaction [Line Items] |  |  |
Receivables | 1,523,558 | 156,082 | 0
Total investments in and advances | 10,408,718 | 22,320,769 | 0
SSGT III OP | SSGT III Mezzanine Loan |  |  |
Related Party Transaction [Line Items] |  |  |
Debt | 5,000,000 | 17,500,000 | 0
SSGT III OP | SSGT III OP Units and SLP |  |  |
Related Party Transaction [Line Items] |  |  |
Equity |  | 4,664,687 | 0
SSGT III OP | SSGT III OP Units and SSGT III SLP |  |  |
Related Party Transaction [Line Items] |  |  |
Equity | 3,885,160 | 4,664,687 |
SST VI |  |  |
Related Party Transaction [Line Items] |  |  |
Receivables | 6,681,025 | 1,828,990 | 801,233
Total investments in and advances | 23,923,011 | 40,050,400 | 11,802,138
SST VI | SST VI Mezzanine Loan |  |  |
Related Party Transaction [Line Items] |  |  |
Debt | 0 | 35,000,000 |
SST VI | SST VI OP Units and SLP [Member] |  |  |
Related Party Transaction [Line Items] |  |  |
Equity |  | 3,221,410 | $ 4,200,905
SST VI | SST VI Note |  |  |
Related Party Transaction [Line Items] |  |  |
Debt | 15,000,000 | 0 |
SST VI | SST VI OP Units and SST VI SLP |  |  |
Related Party Transaction [Line Items] |  |  |
Equity | $ 2,241,986 | $ 3,221,410 |

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