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Merger and reverse recapitalization - Narrative (Details) $ / shares in Units, $ in Millions |  | 12 Months Ended |  |
--- | --- | --- | --- | ---
Mar. 30, 2023 USD ($) $ / shares shares | Dec. 31, 2024 $ / shares shares | Dec. 31, 2023 shares | Dec. 11, 2024 $ / shares | Dec. 31, 2022 shares
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares issued (in shares) | 47,594,936 |  |  |  |
Options outstanding (in shares) |  | 5,031,303 | 3,886,248 |  | 870,567
Options exercisable, exercise price (in dollars per share) | $ / shares |  | $ 8.67 |  |  |
Purchase price per share (in dollars per share) | $ / shares |  |  |  | $ 4.41 |
Exchange ratio of business combination |  |  | 373.47 |  |
Gross proceeds | $ | $ 128.6 |  |  |  |
Cash from PIPE Financing | $ | 4.7 |  |  |  |
Transaction costs | $ | $ 25.7 |  |  |  |
Legacy UHG |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Outstanding options assumed (in shares) | 2,403 |  |  |  |
Options issued upon exchange (in shares) | 897,585 |  |  |  |
Outstanding warrants assumed (in shares) | 5,000 |  |  |  |
DHHC Class B Common Stock |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Earnout shares remaining after those surrendered (in shares) | 6,738,621 |  |  |  |
Shares forfeited (in shares) | 2,577,697 |  |  |  |
Note Purchase Agreement |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Payments of debt issuance costs | $ | $ 3.5 |  |  |  |
Note Purchase Agreement | Convertible Debt |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Original principal amount | $ | $ 80.0 |  |  |  |
Related Party | DHHC Class B Common Stock |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares surrendered (in shares) | 1,886,379 |  |  |  |
DHHC sponsor shareholders – UHG Class A Common Shares | Related Party |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares issued (in shares) | 4,160,924 |  |  |  |
Convertible Note Investors – UHG Class A Common Shares | Related Party |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares issued (in shares) | 744,588 |  |  |  |
Diamondhead Holdings Corp. ("DHHC") |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Exchange ratio of business combination | 373.47 |  |  |  |
Gross proceeds | $ | $ 43.9 |  |  |  |
Debt issuance costs | $ | 5.0 |  |  |  |
Net cash proceeds | $ | 71.5 |  |  |  |
Transaction costs | $ | 13.6 |  |  |  |
Legacy UHG |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Transaction costs | $ | $ 12.1 |  |  |  |
Assumed Warrants |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Exercise price (in dollars per share) | $ / shares | $ 4.05 |  |  |  |
Outstanding warrants (in shares) | 1,867,368 |  |  |  |
Assumed Warrants | Legacy UHG |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares called by warrants (in shares) | 1,867,368 |  |  |  |
Warrants Issued in Connection with the Dhhc Initial Public Offering |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Exercise price (in dollars per share) | $ / shares | $ 11.50 |  |  |  |
GSH Class A Common Shares | Legacy UHG |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Issued and outstanding shares exchanged (in shares) | 1,000 |  |  |  |
Class A |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares issued (in shares) | 1,755,061 |  |  |  |
Common stock, outstanding (in shares) | 10,621,060 | 21,607,007 | 11,382,282 |  |
Options outstanding (in shares) | 897,585 |  |  |  |
Options exercisable, exercise price (in dollars per share) | $ / shares | $ 2.81 |  |  |  |
Earnout shares reversed (in shares) | 21,886,379 |  |  |  |
Earnout shares to be awarded to certain particular holders (in shares) | 20,000,000 | 20,000,000 |  |  |
Class A | Legacy UHG |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares issued upon exchange (in shares) | 373,471 |  |  |  |
Class A | Note Purchase Agreement | Convertible Debt |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares issued (in shares) | 744,588 |  |  |  |
Class A | Share Lock-Up Agreements |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Purchase price per share (in dollars per share) | $ / shares | $ 0.01 |  |  |  |
Shares agreed to issue to each investor (in shares) | 0.25 |  |  |  |
Shares agreed to issue (up to) (in shares) |  | 421,099 |  |  |
Class A | Related Party | DHHC Class B Common Stock |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Earnout shares reversed (in shares) | 1,886,379 |  |  |  |
Class A | Assumed Warrants |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares called by warrants (in shares) | 1,867,368 |  |  |  |
GSH Class B Common Shares | Legacy UHG |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Issued and outstanding shares exchanged (in shares) | 99,000 |  |  |  |
Class B |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Common stock, outstanding (in shares) | 36,973,876 | 36,973,876 | 36,973,876 |  |
Class B | Legacy UHG |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares issued upon exchange (in shares) | 36,973,876 |  |  |  |
Common Class First | PIPE Subscription Agreements |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares issued (in shares) | 471,500 |  |  |  |
Common Class First | PIPE Subscription Agreements | Convertible Debt |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Purchase price per share (in dollars per share) | $ / shares | $ 10.00 |  |  |  |
Common Class Second | PIPE Subscription Agreements |  |  |  |  |
Schedule Of Reverse Recapitalization [Line Items] |  |  |  |  |
Shares issued (in shares) | 117,874 |  |  |  |
Purchase price per share (in dollars per share) | $ / shares | $ 0.01 |  |  |  |

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