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Summary of Significant Accounting Policies - Additional Information (Details)
 3 Months Ended 12 Months Ended
Sep. 19, 2023
USD ($)
$ / shares
shares
Sep. 30, 2023
USD ($)
Location
$ / shares
shares
Sep. 30, 2022
USD ($)
Jun. 30, 2023
USD ($)
$ / shares
Jul. 01, 2023
USD ($)
Jun. 30, 2022
USD ($)
Summary of Significant Accounting Policies [Line Items]            
Conversion shares sold | shares 9,055,172          
Common stock per share | $ / shares $ 10 $ 0.01   $ 0    
Cash   $ 91,586,000        
Common stock outstanding | shares 9,507,930          
Number of full service branch locations | Location   17        
Minimum percentage required for loan grant for residential mortgage loan to value ratio   80.00%        
Increase in allowance for credit losses on loans   $ 34,000        
Non-accrual loan   144,000   $ 145,000    
FHLB stock   1,274,000   726,000    
Goodwill $ 20,477,000          
Advertising expense   57,000 $ 51,000      
Adjustment for unrecognized tax benefits   0   0    
Interest and penalties on unrecognized tax benefits   $ 0 $ 0      
Number of operating leases acquired | Location   10        
Allowance for credit losses   $ 5,325,000   1,116,000   $ 1,116,000
Retained earnings   $ 116,567,000   127,099,000 $ 127,065,000  
401(k)            
Summary of Significant Accounting Policies [Line Items]            
Defined contribution plan, employer matching contribution percentage   3.00%        
Defined contribution plan, vesting percentage   100.00%        
401(k) | Minimum            
Summary of Significant Accounting Policies [Line Items]            
Defined contribution plan, employee contribution percentage   2.00%        
401(k) | Maximum            
Summary of Significant Accounting Policies [Line Items]            
Defined contribution plan, employee contribution percentage   100.00%        
FHLB New York            
Summary of Significant Accounting Policies [Line Items]            
Impairment charge   $ 0   0    
ASU 2014-09            
Summary of Significant Accounting Policies [Line Items]            
Change in accounting principle, accounting standards update, adopted [true false]   true        
Change in accounting principle, accounting standards update, immaterial effect [true false]   true        
ASU 2016-02            
Summary of Significant Accounting Policies [Line Items]            
Change in accounting principle, accounting standards update, adopted [true false]   true        
Change in accounting principle, accounting standards update, adoption date   Sep. 30, 2022        
Change in accounting principle, accounting standards update, immaterial effect [true false]   true        
ASU 2016-13            
Summary of Significant Accounting Policies [Line Items]            
Allowance for credit losses       $ 47,000 47,000,000  
Deferred tax assets         13,000,000  
Retained earnings         $ 34,000,000  
Somerset Regal Charitable Foundation Inc            
Summary of Significant Accounting Policies [Line Items]            
Common stock issued | shares 452,758          
Cash $ 905,517          
Regal Bancorp Inc            
Summary of Significant Accounting Policies [Line Items]            
Common stock converted into the right to receive in cash | $ / shares $ 23.00          
Operating leases acquired   $ 3,400,000        
Goodwill $ 20,500,000 20,500,000        
Goodwill impairment loss   $ 0        
Regal Bancorp Inc | Core Deposit            
Summary of Significant Accounting Policies [Line Items]            
Estimated useful life 10 years 10 years        
Intangible asset, gross carrying amount   $ 9,100,000        
Intangible asset, accumulated amortization   $ 54,000,000        
Somerset Savings Bank Employee Stock Ownership Plan            
Summary of Significant Accounting Policies [Line Items]            
Conversion shares sold | shares 760,364          
Employee stock ownership plan | shares   760,634