How do I get in to see the leader of the School of Magic?

Hint 1 of 6:

He's behind the locked gate in the main room of the school.

Hint 2 of 6:

The key is in that same room.

Hint 3 of 6:

You'll have to get past the ghosts walking around the tables.  I don't think
you can fight them, so just run past them when they open up a hole in the
path.

Hint 4 of 6:

The key is locked in the chest at the very in of the room.

Hint 5 of 6:

There is a way to get past the trap just in front of the chest.

Hint 6 of 6:

You just have to be careful in how you walk there.