This is a super clever concept, but it took some time to understand what is going on. I feel like it needs a clearer way of showing the state of the level, for example which exits are currently connected. I would also suggest to give the player more time to get used to a mechanic. The first two levels already introduce multiple ways to twist the level, which to me felt a bit overwhelming and confusing. Though I do know how hard it is to create good levels in such a short time span, especially for a puzzle game.
The character feels nice to control. I also liked the art and sound (even though the tutorial graphics seem a bit out of place). It all looks and feels pretty polished overall!