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Debt - Summary of Outstanding Indebtedness (Detail) - USD ($)
$ in Thousands
9 Months Ended
Sep. 30, 2024
Dec. 31, 2023
Debt Instrument [Line Items]    
Indebtedness $ 650,999 $ 672,720
Deferred financing costs, net (2,826) (3,258)
Unamortized fair value adjustments   48
Total 648,173 669,510
Unsecured Debt [Member] | Term loan [Member]    
Debt Instrument [Line Items]    
Indebtedness   50,000
Unsecured Debt [Member] | Term Loan Two [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 25,000 25,000
Interest Rate 6.00%  
Maturity 2026-01  
Credit Facility [Member] | Unsecured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 255,000 200,000
Interest Rate, terms 1.50  
Interest Rate, spread 1.50%  
Maturity 2025-11  
Mission City [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 45,323 45,994
Interest Rate 3.78%  
Maturity 2027-11  
Canyon Park [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 38,356 38,932
Interest Rate 4.30%  
Maturity 2027-03  
Circle Point [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 38,339 38,789
Interest Rate 4.49%  
Maturity 2028-09  
SanTan [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 30,958 31,501
Interest Rate 4.56%  
Maturity 2027-03  
The Quad [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 30,600 30,600
Interest Rate 4.20%  
Maturity 2028-09  
Intellicenter [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 30,207 30,682
Interest Rate 4.65%  
Maturity 2025-10  
2525 McKinnon [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 27,000 27,000
Interest Rate 4.24%  
Maturity 2027-04  
FRP Collection [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 25,842 26,139
Interest Rate 7.05%  
Maturity 2028-08  
Greenwood Blvd [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 20,440 20,856
Interest Rate 3.15%  
Maturity 2025-12  
5090 N 40th St [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 20,028 20,370
Interest Rate 3.92%  
Maturity 2027-01  
AmberGlen Property [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 20,000 20,000
Interest Rate 3.69%  
Maturity 2027-05  
Central Fairwinds [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 15,556 15,826
Interest Rate 7.68%  
Maturity 2029-06  
Carillon Point [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 14,254 14,419
Interest Rate 7.05%  
Maturity 2028-08  
FRP Ingenuity Drive [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness $ 14,096 15,860
Interest Rate 4.44%  
Maturity 2026-12  
Cascade Station [Member] | Secured Debt [Member]    
Debt Instrument [Line Items]    
Indebtedness   $ 20,752