Curse of the Crimson Throne - Advice needed.

Spoilers for anyone who is/will be playing, about events in Book Two. You've been warned.

We left on a cliffhanger last session; after talking with Davaulus and saying the wrong thing, he went invisible and took the cargo lift down to the Temple. The parry is chasing down the stairs... but if Davaulus took the lift, how are they getting to the Temple floor? He's not going to just send it back up for their use...