Ok, this is a little embarrassing, but I was just stuck on the robot thingy thinking I was supposed to kill it for about 5 minutes, until realizing that this was mainly a platformer game. That aside, this is a pretty simple concept, and you executed it quite well I think. However, the level design I think was a bit lacking. This may have just been an issue with the resolution, but there were several "leaps of faith" in the jumps where I had no idea where I was going to land and if I needed to switch afterward, this resulted in me dying because my jump was poorly placed in relation to the level. On that note, the music changing a bit every time you swapped sides is an interesting idea, but it got a bit irritating especially when you needed to swap several times in a short period of time. I think it would be best if the change was very subtle.
Other than that the implementation of the core mechanic was straightforward and quite clean, great work to all of you for making an idea come together!