
No Problems at all!
Great operating System, Great Game, Great Experience!

Works great OOTB with "Vulkan (Steam Deck)" option
I didn't try any other options
Out-the-box, text didn't display at all. For Wine, 'winetricks corefonts' fixed this. I don't know of a fix for the native Linux binary.
Native works great out of the box. No problems
Types "_" when pressing shift in the blueprints manager
Default ui scaling is small, can be changed in the settings easily tough
Severe screen tearing at resolutions above 1080p without refresh of KWin compositor animation preference. Refresh of preference (i.e. selecting another option and hitting apply, regardless of whether latency or smoothness is preferred) removes screen tearing, but large hospitals will see some stuttering if smoothness is preferred over latency.
Occasional lag in drawing room boundaries, applying floor types, or applying wall types can result in different boundaries than input.
Aside from graphical and input issues, game runs smoothly even with considerable modding through Steam workshop. These issues are fairly easily overcome.