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Subsequent Events - Additional Information (Detail) - USD ($)
shares in Millions
9 Months Ended
Nov. 04, 2022
Oct. 25, 2022
Sep. 30, 2022
Sep. 30, 2021
Subsequent Event [Line Items]        
Gross proceeds from issuance of common stock     $ 89,704,540 $ 31,884,317
Subsequent Event | Class P Common Stock        
Subsequent Event [Line Items]        
Common stock issued in connection with offering 10.8      
Gross proceeds from issuance of common stock $ 102,900,000      
Subsequent Event | Class A Common Stock        
Subsequent Event [Line Items]        
Common stock issued in connection with offering 1.5      
Gross proceeds from issuance of common stock $ 15,700,000      
Subsequent Event | Class T Common Stock        
Subsequent Event [Line Items]        
Common stock issued in connection with offering 2.5      
Gross proceeds from issuance of common stock $ 25,000,000.0      
Subsequent Event | Class W Common Stock        
Subsequent Event [Line Items]        
Common stock issued in connection with offering 0.2      
Gross proceeds from issuance of common stock $ 1,600,000      
Maximum sale commission fees percentage of proceed from Primary Offering   1.50%