Very clever implementation of the movement-linked counter, the double step adds some really nice complexity to the puzzles.
For me the solid tiles and walkable tiles are a bit too similar in color (level 6 I think). I play on a low-nit IPS LCD screen and had to take a screenshot and crank up the brightness just to figure out why my character was hitting invisible walls.
Still, a fantastic puzzle game (I made a movement-counter game for my jam entry too, so it's really cool seeing your take on it)