OP, Im sorry for your struggles to break your broody, but your descriptions of her behaviors are hilarious, and had me laughing throughout this thread.

i have nothing to add to the stellar advice you have been given, as to the best/proper way to break a broody.
However, I have been forced to take a different approach when breaking broody hens, due to the sheer numbers of broodies. I once thought broody hens were magical and wonderful creatures. Loved watching those mama hens raise their chicks as nature intended. But then the broodies began to literally double the total chicken numbers each year, & the magic became a nightmare. Finally in 2019 I shut 'em ALL down. Because "No girls, ya'll are absolutely NOT hatching 1000 chicks this year. Ms. Chicken Lady is Done." (They hatched 400 chicks in 2018.) I relented in 2020 and let Some broodys hatch chicks, but never again will they All be allowed to. Especially the mean ones. Tiger Turkey and Mean Green Jean, that means you.
I dont put the broodys in raised cages or follow any of the proper rules. I simply remove & separate them into the separate protected pens where they Formerly raised chicks. And leave them there for usually a full week, depending on my schedule. However many broodies i have each week, they all go to broody jail together. The most ever jailed together was 17, during one week in July 2019. Food, water, roosts, dirt to bathe in, they have it all. What they Dont have is cozy nest boxes or Eggs.
It goes on all spring, summer & fall long. Only month ive never had broody hens is December. I dont have the time nor energy to test them and see if they go back to the nest boxes. When the constant pacing and clucking ceases, i know they are ready to be released. Good thing too. Because there will soon be more jailbirds arriving to take their place.