So, I see four active portals just sitting there projecting spirits. They must represent a weakness between physical and spiritual. With four open at once, they cannot possible stop or control all of us.
Us: Rush the open portals, physically enter The Warrens in vast numbers. Fill the room, conduct philosophical debate concerning the body odour of the creator.
Can the menus be used to repeatedly activate the traps? The control mechanisms must have their limits, spamming spirit should suffice...
The power of love automatically breaks mind control, right? That seems consistent with all the media I have seen...
Convert one of the spirits into a magical girl and proclaim that you need them.
You could try the old "Divide and conquer" technique...
Feign weakness and proclaim that only the (vaguely indicated) beautiful one is worthy of destroying you.
Either they attack one another, so this can be resolved to a one versus one through evasion, or they do not attack one another...
Use the puppets to disguise yourself as a spirit. Also whip up some electromagnetic levitation and an eery electrical glow.
Water has been known to sever connections to spirits, getting them into the water might prevent them from being controlled.
Retreat to the water. Challenge them to a contest of "who can hold their head underwarter for the longest"...
Sudden Authorial transformation may be your only escape!
Hurl the pendant at the fourth wall, aim for F.F.S., just look for a giant trollface.
melt the hinges off the chest and nab the lid, then use the lid as a shield to lure them into close-combat in the water, then jump on the lid and electrify the water to hit them all at once.
The number of tiles in each corner may be important, try to engage the spirits in order.