the only reason you need the doll on the alter to put the rope on is due to jank. you can incapacitate the other doll without the alter but alas you are Blind to the solution.
the state of the mansion is important depending on the difficulty level. for the route you are going for on masochist you want it to be in the creepy state.
Alternatively you can make the haunted house crash out and chuck you out or making a good enough offering on the alter could get you out of a Hopeless situation maybe.