Something came to mind quite quickly regarding GM moves, but was rather unformed. The phrasing is "On a 6 or less, gain experience and the Dungeon Reacts."
So basically, the demons provide a route for the MC's active moves against the players (usually) while these "Dungeon Reactions" are more passive in nature. Then of course, you can have a whooooole list of *things* that can happen, simply due to living in this place. Looking at the list of MC moves from Apoc World, I can kinda see how some of them being solely the purview of the dungeon itself making these things happen would add to the style.
Ding: Two lists of moves. Demon Moves and Dungeon Moves. Some of them overlap, like announcing future badness, while separating, capturing and putting in a spot is solely a Dungeon Move. Even if the embodiment of some sin or other is cackling as the trap springs shut around you, its still fundamentally the Dungeon making the move. You feel me?