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Stock-Based Compensation - Restricted Stock Units Narrative (Details) - USD ($)
3 Months Ended 9 Months Ended
Jan. 01, 2025
Aug. 06, 2024
Mar. 31, 2025
Mar. 31, 2025
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Number of CDI exchanged for one common stock (in shares)   200    
2024 Plan        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Number of shares authorized (in shares)     1,600,000 1,600,000
Restricted Stock Units (RSUs) | 2024 Plan        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Total Stock Compensation Costs Expensed     $ 1,026,228 $ 2,744,764
Restricted Stock Units (RSUs) | 2025 Director RSUs        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Total Stock Compensation Costs Expensed     $ 144,175  
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | Retention Awards        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation grants in period (in shares)   47,400    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | U.S. Retention awards        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Common stock, shares, issued (in shares)   8,150    
Fair value at grant date (in USD per share)   $ 21.73    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | Australia Retention awards        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Common stock, shares, issued (in shares)   39,250    
Fair value at grant date (in USD per share)   $ 0.109    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | IPO Awards        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation grants in period (in shares)   795,000    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | IPO Awards | Tranche 1        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation grants in period (in shares)   397,500    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | IPO Awards | Tranche 2        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation grants in period (in shares)   98,750    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | IPO Awards | Tranche 3        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation grants in period (in shares)   298,750    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | U.S. IPO awards        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Common stock, shares, issued (in shares)   175,000    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | U.S. IPO awards | Tranche 1        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Fair value at grant date (in USD per share)   $ 21.73    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | U.S. IPO awards | Tranche 2        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Fair value at grant date (in USD per share)   21.73    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | U.S. IPO awards | Tranche 3        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Fair value at grant date (in USD per share)   $ 19.64    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | Australia IPO awards        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Common stock, shares, issued (in shares)   620,000    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | Australia IPO awards | Tranche 1        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Fair value at grant date (in USD per share)   $ 0.109    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | Australia IPO awards | Tranche 2        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Fair value at grant date (in USD per share)   0.109    
Restricted Stock Units (RSUs) | Share-based payment arrangement, employee | Australia IPO awards | Tranche 3        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Fair value at grant date (in USD per share)   $ 0.098    
Restricted Stock Units (RSUs) | Share-Based Payment Arrangement, Nonemployee | 2025 Director RSUs        
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]        
Share-based compensation grants in period (in shares) 27,281      
Fair value at grant date (in USD per share) $ 20.99