Lovely game indeed!
I found a different solution to this level:
1. Touch the O BLOCKS to go to JAIL.
2. As you fall, avoid the X BLOCKS and fall in the water to go under the wall to the left room.
3. In the left room, touch the X BLOCKS to set yourself on fire to climb to the LEFT GAVEL.
4. Use the LEFT GAVEL to change Section 1's penalty from DEATH to AIR.
5. Touch the X BLOCKS again to jump on the suspended wall block and fall in the water to return in the door room (optional: grab the health potion for safety).
6. Use the O BLOCKS to jump up to the top of the CENTER GAVEL room.
7. Go right and just before landing on the + BLOCKS, change Section 2’s penalty from DEATH to POLYMORPHISM.
8. Use your new frog jump to enter the right room and reach the QUILL (stepping on a + BLOCK is a bit noisy).
9. Change Section 2’s condition from TOUCH + BLOCKS to BE A FROG (this is even more noisy now).
10. Go back to the left room (the frog jumps high enough to go down the water).
11. Use the LEFT GAVEL to change Section 2’s penalty from POLYMORPHISM to AIR.
12. Go to the right until entering the ceiling hole above the door.
This is only possible because the rules dialog stops time in step 7, which feels a bit cheaty given it’s the only part of the game where it is really useful (but is quicker on step 3 too if you manage to get the timing right). It’s still kind of a good solution imho in that it does not skip a whole room in the level.