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Glad you liked it.
Level 13 wasn't meant to be very hard, it was a silly idea I had where I wanted to give the impression that you had to push against the outer wall blocking the path but also a bit of an experiment in making the little one-way mechanism there at the end.

Thank you for the kind words. Your approach is mostly right, but your approach to the second step is a bit different from how I'd describe it - think about other ways to move hats to get to your desired order.

The key is to support the blue hat so there's room to slide green under the blue, rather than put blue on top of green.