Very unique and cool concept, good execution. I will say that none of the puzzles in the 3rd part used the new mechanic and that was a bummer. I don't know if this is due to random generation. Other than that, great job :)
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You are right about the random generation. I did try to impose more restrictions on allowable puzzles, but more often than not it would make the solutions too obvious. So I decided to keep the less restrictive but more difficult puzzles. I might try and tweak it a bit more once the jam is over. Thank you for the comment!