I mentioned the dog crate in the first reply. I'm suggesting to break the pest.
I would not close the broody into the broody coop. She needs to be able to come and go from her nest. You are just trying to stop the other hen from fixating on the broody and her clutch. You don't isolate a hen with eggs if you are trying to break her broodiness. You isolate her in a wire bottom crate with no bedding. Just give her a piece of 2x4 board or something to stand on in the crate. Make sure she has food and water and keep the crate in a secure area with the rest of the flock for the duration. Three days, two nights. Keep the crate elevated off the floor so it isn't in the coop bedding.
You mentioned a dog crate with a wire floor to break her broodiness - I am asking if you think it is worthwhile to put her in a dog crate (mine does not have a wire floor), with some eggs in order to see if she will go truly broody. Not to break her broodiness.
I repeat, if I locked her out of the broody pen, I doubt she will continue the broody-like behavior.
As far as the other truly broody hen, I have locked her in the coop each time she has hatched chicks. It is because the other hens harassed her. Not in the same way to that the current hen is, They were just coming and going and fussing at her because they wanted that nest. It is a favorite nest. We have another, larger coop. Also, after the chicks are hatched, I thought it best to keep them in the coop for a week away from the other older hens. This did not disturb my Broody because she doesn’t leave the coop while broody anyway. She walks down the ramp and eats drinks and poops, and then returns whether the door is open or not (Which it has been open this whole time because of the 2nd hen). Also, I think this sort of thing is common practice, depending on the set up of the person who has chickens. Many people do it many ways, but I’ve heard many people do it this way and I’ve had no problem.
The white coop is plenty big for a single hen and chicks. The only reason that I have left it open this time is because the black-and-white hen comes and goes once a day, and though she has never tried to go broody before, I thought she might be. Instead she seems to be just harassing my other truly broody hen. The other hens have been staying out even though the door is open, probably because the black-and-white harassing the broody is the most aggressive and keeps them out.
My original question was, of course, Should I kick harassing hen out of the pen. I think your answer is “yes”, although you wanted me to isolate her which I don’t plan to do and I don’t think it’s necessary
I don’t mean to repeat myself but I must not have been clear before so I am trying hard to do so.