This game is pretty brilliant! The music and art style feel really cohesive and polished. It was a lot of fun!
Some feedback would be you should introduce the idea of moving the border at least in the puzzle before because it's possible to move left at the bottom and get stuck in the right side and it seems like a bug if you don't know about the border yet. (see screenshot)
IMO I like the puzzles where you have to move the dot more than just moving the border. I think because I can tell what will happen in those cases but when moving the border it's more trial and error as I don't know exactly where the dot will jump to.
But overall it's a great game!