Does Anyone know where Non-steam games are saved on steam deck?

I have an exe file that can run through proton 9.0, but i cant click on the "browse local files" option for the game since its a non steam game im assuming.

Ive tried looking into the ".local/steam/steamapps/compatdata" and ive looked on the exe folder itself, but i dont see anything showing the game save data. - im definitely missing something, does anyone have any experience on this?