Very good submission!
It seems turn order is a really big indicator of who will win when you play against AI, but I guess that's just an inherent flaw of the core gameplay which can't really be fixed unless you add more random elements into it. In any case, for a game jam game, this isn't a game breaker at all - I still had lots of fun playing the game!
One thing I would suggest is improving the UI for the action buttons; I had a very hard time figuring out which action was selected at any given time, and often erased when I actually to move.
Overall though, a great entry, especially for a solo dev. Great job!