I really like this idea -- it's super clever, fits the theme really well, and the puzzles are well designed. Levels 8 and 9 are both great in the department of "Wow, this looks simple" but is actually much harder than it looks, which is a fun trope to pull to show the strange consequences of the mechanics. It does become a little hard to keep track of where you're going to land, especially if you have multiple regain control cards going -- I'm not sure what you would be able to do about that, the best I could think of is a button you hold to show a grid of numbers or something, but idk if that would even look good in the aesthetic or be intuitive.
Anyway, one of my favorites in the jam. Great game.