Do you have any eggs for her to hatch? If you want to go another round with a broody I would put a door on that end and give her a safe place to hatch.
She is probably going there because she feels its a safe place to get away from the other hens and raise her offspring, even if she doesn't have a bunch of eggs to hatch yet.
Maybe you can put a door with some hardware cloth on it for her.
The other option is to make it more appealing to them to lay in the other part of the coop.
Maybe they don't have a secluded enough spot to lay and thats why they go to the closet.
I have the same issue sometimes with my girls, they all want the same nestbox that is partially hidden behind the hanging feeder.
Rather than lay in the available boxes they form a line and climb into the one box 3 at a time or I find an egg in a shrub or some other obscure area.
My husband just uncovered a bunch of eggs under a wooden pallet.
Then yesterday I was standing outside in my driveway talking to my daughter when an egg rolled out from under the double doors on the carriage house. I was like what the...?
I went in to find a hen just coming out from behind some stuff we have stored in front of the doors, so she thought she would sneak in there and hide an egg.
She would have gotten away with it for a while too if the egg hadn't rolled out and under the doors.
The more dark and secluded you can make the nest the happier they are.
I have heard of people hanging curtains over the boxes too, at least partway across so they can still get in.
If you want to keep them down that end I think you will have to make it more attractive to them to want to lay, otherwise give up the fight and make them safe at the other end.
These hens are high maintenance I tell ya.