I am writing this as the game is in early access, so this might be subject to change.

It does run fine on Steam Deck, there are no performance issues or anything. This game only has partial controller support which does not work with the default layout. However, if you change the layout to "gamepad with mouse trackpad" (or use "keyboard WASD mouse and remap some buttons) everything should be accessible, as you can use the mouse and the A button to "click". It is a little clumsy but very much playable.