Awesome art and music, the paper designs fits together very nicely!
The Edge system is definitely the hardest to understand about the game without looking for the readme, improving the UI for this by actually having coin sprites for example (that flicker a bit then settle to heads or tails) would let you know how this calculation happens and what those things mean. Calling it “Edge” might also add to the confusion thanks to “edge” being an important and negative thing in the context of pushing each other down from the mushroom.
Would be great if the action being played would show up above the bug itself when they execute it, instead of on the sides from the beginning. This would make you concentrate on the cute bug characters more and it could add a bit of tension about what the enemy will do (if they come second) as you’d only see their action the moment it happens and if they failed their action, they could keep you more in the dark about their tactics.
The cards coming up on hover could use a bit of easing instead of the linear transition (ease out for both up and down motion would feel nice here).
It would be great if the bars on the level below and ahead of you would get highlighted based on the range of the currently hovered card. Bump/Push could even show an arrow pointing towards where they would push the enemy there. Such overlays could greatly enhance understanding what the cards do.
Thanks for this fun game!