Where does the lift elevator go?

Hint 1 of 5:

The lift takes you to several levels above the monster pit.

Hint 2 of 5:

More specifically, there are the three levels: ground floor (with monster),
the rafters, and a top alcove.

Hint 3 of 5:

If you fall off the rafters or the elevator, you can recall the elevator to
the ground level by operating the lever on the wall next to the shaft.