The Advance Wars inspiration is very clear! I can feel the heart that went into making this.
Some low-hanging fruit from a usability perspective:
Wait meaning "move" was confusing for me at first. I wasn't sure if I'd be entering some sort of overwatch mode or anything.
It felt like having some sort of button on the screen to pull up the menu would also be helpful. A visual affordance that I can anchor myself around a bit.
My two cents!
I'm so glad you got this up and running. Thank you for sharing!