-To skip the Puyo section in Egg Plant, first get to this section (Don't mind debug being enabled, I was just testing something):
Then, fall down, and you'll be here:
Once you're here, go left, and follow the path until you get here:
Keep going right until you spot this ring:
Jump down to the ring, and follow the secret path, and you'll eventually be taken straight to the boss fight. This is the only zone in which you can skip a special area. There's also another path you can take to skip, but I'll leave that up to you to find.