Interesting concept. Adding to the >slidy ice, oly turn when you hit a wall< mechanic by giving limited turns felt like a really natural fit.
Spoilers ahead:
I am not so sure about the powerup though. From a level design perspective it takes away a lot of ways to restrict the player. It adds a dexterity component to the game and therefore changes it away from a puzzle game.
But overall I had fun and like the puzzle part of the game a lot!
My submission: https://itch.io/jam/gmtk-2020/rate/694239