I really liked dungeon shifting mechanic, I think it has lot's of potential. I also like menu music - it's vibey).
The combat, though - not really a fan. I understand that due to time/scope constraints you've probably made it as just POC, spiced it up with some weapon variety and let it be, hence right now if you get into combat rooms too often it feels a bit like a chore.
So I really feel like there are bunch of simple things that could level up the combat. Maybe, even tie it back much better to the rest of the game.
For example, what if clearing a combat room within some time or not taking damage grants player an extra move or a card for next turn?
Anyhoo, it's an awesome submission and congratulations on a release!