I've played a little bit of the base game on my Steam Deck a couple of months ago. It is possible to play. I just can't remember if I was able to use the controller configuration or touch screen. Also I think in the beginning you have to pull up the on screen keyboard to enter your name. But the game is free right now ending tomorrow (Aug 6th), along with the DLCs, so you might wanna grab em now to try out at no risk
Edit: Sorry I was thinking I was still on the original game's page