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Stockholders' Equity - Schedule of Valuation Assumptions Using a Black-Scholes Pricing Model (Detail) - Stock options [Member]
9 Months Ended
Mar. 31, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Volatility rate 91.71%
Risk free rate 1.78%
Expected term 5 years 11 months 26 days