This one is rough. Progressive hints below. Reading them all will pretty much solve the room.
Click here to view the secret text
×You can't reach the third row, but the keg can. It needs to be pushed three times in one turn.
Click here to view the secret text
×The turn before you push it, the slower mimic's weapon needs to be on the same space as the faster mimic.
Click here to view the secret text
×To accomplish that, you need to have the slower mimic try to shove the faster one, but fail because the keg is in the way.
Click here to view the secret text
×This also requires that the faster mimic be stunned on that turn, or it will just move first.
Click here to view the secret text
×The last three moves going into the big push are NW, NE, NW.
Click here to view the secret text
×The mimics need their weapons facing N, and yours should be facing NW.
Click here to view the secret text
×The trapdoor path on the left is necessary. You need to have a mimic step off of it on the second-to-last move.