Well done! Gave me some "Baba is you" vibes.
The movement felt a little weird, like if the floor was made of ice. I am not sure, but it felt hard to control were the character would stop sometimes.
The level design was really good. The difficult and mechanics progression were on point and, while the last level was a bit too hard, all the others were fun to go through, each using a different mechanic. Talking about it, having to connect yourself to the pieces was a really neat idea. Would be nice if there were different powers (but understandable for a jam game).
Fun overall! Good job!