Turns out the Linux version of the game requires more work to function 100% as intended.
God Edge is 100% playable on a Steam Deck without issues and here's how. Go to Compatibility and use the following options.
Steam Deck Compatibility Update! (Again?)
Source: Steam Community (opens in a new tab)
Build and release context
Steam update times within 24 hours of this post. Matching dates do not confirm which build it describes.
Build 24960829 · linux branch
Steam updated · First observed
Build 24960829 · public branch
Steam updated · First observed