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Related Party Transactions - Summary of Fees and Expenses Incurred and Amounts of Investment Funding Due (Detail) - USD ($)
9 Months Ended 12 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Dec. 31, 2020
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties $ 6,593,841 $ 2,109,833 $ 1,438,450
Fees and expenses, Incurred 10,416,442 4,945,004  
Fees and expenses, Paid 5,932,434 4,476,051  
Asset Management Fees [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties 368,141 223,602 150,028
Fees and expenses, Incurred 2,745,623 2,166,136  
Fees and expenses, Paid 2,601,084 2,092,562  
Property Management and Oversight Fees [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties 75,230 63,873 37,055
Fees and expenses, Incurred 1,246,506 676,908  
Fees and expenses, Paid 1,235,149 650,090  
Operating Expenses [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties 5,504,855 1,234,253 204,253
Fees and expenses, Incurred 4,270,602 1,030,000  
Expense Reimbursement [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties 31,500    
Fees and expenses, Incurred 31,500    
Organization Expenses [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties     17,879
Fees and expenses, Paid   17,879  
Admin Fees      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties   18,000  
Fees and expenses, Incurred (18,000) 18,000  
Offering Costs [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties 85,376 100,391 294,405
Fees and expenses, Incurred 1,292,104 763,027  
Fees and expenses, Paid 1,307,119 957,041  
Selling Commissions and Dealer Manager Fees, Net [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Incurred 455,790 403,547  
Fees and expenses, Paid 455,790 403,547  
Distribution Fees [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties 151,249 267,284 $ 734,830
Fees and expenses, Incurred 217,257 (112,614)  
Fees and expenses, Paid 333,292 354,932  
Distribution Due [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties 202,430 $ 202,430  
Application Fee Reimbursement [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties 100,000    
Fees and expenses, Incurred 100,000    
Transfer Fee [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Due to related parties 75,060    
Fees and expenses, Incurred $ 75,060