Thought it was about time I Return to Wonderland.

N' Joy!

MARK358
Hi Amnon,
There's absolutely no dodging in my solution.
SPOILER:
Push the box up on the TP as the UFO passes by the other TP, the box will sit on top of the TP.
When the coast is clear, push the box one up to misdirect the UFO into the north room by stepping on the aqua button.
I don't know what the intended way is, but what I did is to keep the UFO in the right chamber and carefully bring it the keg when it patrols the top part of the chamber. It's still kind of dodging, but not as risky.Then how would you bypass that dodging?
That's how I solved it. I only consider it dodging, when the enemy is in the same room at very close quarters.
Spoiler:
I wait until UFO passes the open gate travelling up, and then push the keg near the door, then quickly step up one.
Thank you Aryan and you're welcome for the hint!