So far, I've been seeing if there's any way to make the two sides interact with each other, but I'm not seeing a way yet. I'm also wondering if there's a way to make all the cyan (aka gray) blocks clear, but I've had no luck with that yet, either. Hmmm.
Edit: Neat, I think I figured out a way to clear all 3 columns of cyan blocks, but can't fully test it with the bubble there.
Anyway, I'm interested in hearing more about the intent ruleset for this puzzle.