I was nearing the end of the deadline by the time I was finally able to get the actual gameplay mechanics in, so I wasn't able to add the necessary context in-game for what's going on, and the video is rushed to the point of just being gameplay with the first song I could think of... (leaving the error in was entirely intentional though; maybe not the best choice?)
The mutation theme is the "going crazy" you saw in the trailer. It might be somewhat hard to make the connection since there's a lot going on, but the colorful "gems" mutate them after enough exposure (either by handling or being near it), which modify their stats drastically (most obviously speed as shown in the trailer).
Apologies you couldn't play! :( Though, I don't know what an "AMC program" is?