Awesome concept! Some of the levels I found confusing, but the music, graphics, and gameplay were super enjoyable. Take a look at our game if you've the time!
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I wasn't sure how the cages worked. My first assumption was that each time a switch was pulled, they would all swap collision, but that seemed to be inconsistent. Also, it isn't super clear that the floor would stick together with the extra piece connecting them. These didn't stop me from finishing the game or having a good time though, so it's not a biggie.