The bottom of the mimic's chamber is a 2x2 square; it's a very handy place to be if you can keep your sword orthogonal.
For the middle cracked wall, however, it's pretty clear you have to be able to make a southward move and then be able to face southwest - there's two different places in the mimic's chamber you can do that (either in the middle or on the upper part). Either will work.
The rest is just being very careful about your mimic's displacement so that it's in just the right place when you arrive at your actual destination.
Let me know if that helps, or if you'd like more specific help.
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