How can I get Xina's slipper?

Hint 1 of 11:

This is a pretty complicated puzzle.  There are several ways to work out the
logic, but you first might want to start by trying to get King Bodd to use
the slipper.

Hint 2 of 11:

Slippers are often used to kill bugs.

Hint 3 of 11:

So dig out a roach from the roach motel by having Fulbert crawl into it.

Hint 4 of 11:

The king's son Tibo might help you here if you gave him a new toy.

Hint 5 of 11:

Give him the gun that you took from the guard in Xina's chambers.

Hint 6 of 11:

Then look for something that Tibo might be able to use as a target.

Hint 7 of 11:

The buffoon can probably help you here.

Hint 8 of 11:

Give him a few items to help him find a new trick.

Hint 9 of 11:

Like spinning plates.

Hint 10 of 11:

Give him your wand (you can talk to him to get it back) and a plate from this
screen.  He'll start spinning the plate on the wand and Tibo will shoot it.

Hint 11 of 11:

Combine these two actions and you'll be able to get the slipper.