I figured it out. In the bottom left most room, there is a paper next to the cliff that you need to interact with.I tried reading through a bunch of the posts already, but didn't notice anyone else asking what to do with celestial dreamworld (in the lab). Everything is a dead end, I've done everything else I can find
Also whats the thing to do after the 4 kings? "you feel that the old document on the desk was shining" what desk?
Also, for the 4 cards, I just had to come back later and the box in the middle of the table was no longer blocked.