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Related Party Transactions - Summary of Fees and Expenses Incurred and Amounts of Investment Funding Due (Detail) - USD ($)
6 Months Ended 12 Months Ended
Jun. 30, 2024
Dec. 31, 2023
Dec. 31, 2022
Related Party Transaction [Line Items]      
Due to related parties $ 10,409,380 $ 5,776,223  
Related Party [Member]      
Related Party Transaction [Line Items]      
Due to related parties 10,409,380 5,776,223 $ 6,496,398
Fees and expenses, Incurred 6,005,971 12,294,928  
Fees and expenses, Paid 1,372,814 13,015,103  
Asset Management Fees [Member] | Related Party [Member]      
Related Party Transaction [Line Items]      
Due to related parties 2,613,349 719,851 399,962
Fees and expenses, Incurred 1,893,498 4,686,066  
Fees and expenses, Paid   4,366,177  
Property Management and Oversight Fees [Member] | Related Party [Member]      
Related Party Transaction [Line Items]      
Due to related parties 252,130 80,762 78,981
Fees and expenses, Incurred 1,336,701 2,414,830  
Fees and expenses, Paid 1,165,333 2,413,049  
Operating Expenses [Member] | Related Party [Member]      
Related Party Transaction [Line Items]      
Due to related parties 4,245,085 4,245,085 5,504,855
Fees and expenses, Incurred   4,040,832  
Fees and expenses, Paid   5,300,602  
Expense Reimbursement [Member] | Related Party [Member]      
Related Party Transaction [Line Items]      
Due to related parties 2,971,002 393,887 33,000
Fees and expenses, Incurred 2,577,115 360,887  
Offering Costs [Member] | Related Party [Member]      
Related Party Transaction [Line Items]      
Due to related parties 0 0 61,210
Fees and expenses, Incurred 0 166,453  
Fees and expenses, Paid 0 227,663  
Selling Commissions and Dealer Manager Fees, Net [Member] | Related Party [Member]      
Related Party Transaction [Line Items]      
Fees and expenses, Incurred 45,802 275,504  
Fees and expenses, Paid 45,802 275,504  
Distribution Fees [Member] | Related Party [Member]      
Related Party Transaction [Line Items]      
Due to related parties 25,384 34,208 115,960
Fees and expenses, Incurred 152,855 350,356  
Fees and expenses, Paid 161,679 432,108  
Distribution Due [Member] | Related Party [Member]      
Related Party Transaction [Line Items]      
Due to related parties 202,430 202,430 202,430
Application Fee Reimbursement [Member] | Related Party [Member]      
Related Party Transaction [Line Items]      
Due to related parties $ 100,000 $ 100,000 $ 100,000