Related-Party Transactions - Subscription, Voting and Redemption Agreement (Details)	May 19, 2022 Vote $ / shares shares	Sep. 30, 2022 $ / shares	May 18, 2022 shares	May 17, 2022 $ / shares	Dec. 31, 2021 $ / shares
Related Party Transaction [Line Items]
Preferred stock, par value (in dollars per share) | $ / shares		$ 0.0001		$ 0.0001	$ 0.0001
Redeemable Special Voting Preferred Stock
Related Party Transaction [Line Items]
Shares issued in stock | shares	1,000,000
Preferred stock, par value (in dollars per share) | $ / shares	$ 0.0001
GP-HGM LLC [Member] | Redeemable Special Voting Preferred Stock
Related Party Transaction [Line Items]
Preferred stock, par value (in dollars per share) | $ / shares	$ 100
Voting preferred stock, authorized shares | shares	1,000,000
Number of votes per share | Vote	20,000
Preferred stock, shares authorized, increase proposal | shares	40,000,000		20,000,000