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Fair Value Measurements - Summary of Carrying Value and Fair Value of Mortgage Facilities and Term Loan (Details) - USD ($)
$ in Thousands
Mar. 31, 2025
Sep. 30, 2024
Fair Value [Member] | Mortgage Facility Payable to Flagship Bank [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Mortgage facility and term loan payable $ 5,092 $ 5,501
Fair Value [Member] | Mortgage Facility Payable to Seacoast National Bank [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Mortgage facility and term loan payable 14,234 15,467
Fair Value [Member] | Mortgage Facility Payable to Hancock Whitney Bank [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Mortgage facility and term loan payable 20,421 21,781
Fair Value [Member] | Term Loan Payable to M&T Bank [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Mortgage facility and term loan payable 333,977 347,250
Carrying Value [Member] | Mortgage Facility Payable to Flagship Bank [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Mortgage facility and term loan payable 5,163 5,411
Carrying Value [Member] | Mortgage Facility Payable to Seacoast National Bank [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Mortgage facility and term loan payable 14,699 15,378
Carrying Value [Member] | Mortgage Facility Payable to Hancock Whitney Bank [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Mortgage facility and term loan payable 20,409 21,366
Carrying Value [Member] | Term Loan Payable to M&T Bank [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Mortgage facility and term loan payable $ 332,500 $ 347,500