This was a super creative take on the theme. I really enjoyed the concept of looping player actions and using them as part of the puzzle-solving. It felt like a mix between platforming and programming logic, which was both fun and mind-bending.
Some feedback: I agree with others that the controls could be a bit more responsive, and a short tutorial or hint at the beginning about how loops work would make the learning curve smoother. That said, once I understood the mechanic, it was very satisfying to pull off solutions using my past selves. Great job!