I think you are upsetting yourself by making it a power struggle. If you want the floor clean, you might have to clean it; she obviously does not want the floor clean. That she walks on it is neither here nor there.

If you use joint dishes/utensils I'd get my own "set" of what I use (a plate, a glass, a mug, etc.) and keep them clean and organized in my own space. I'd vacuum/sweep/clean the parts of the house I use, whether they are joint or not, and put things she uses and does not clean up in her room as suggested but I'd wait a reasonable amount of time, at least 12 hours. I'd buy and label my own food and keep anything non-perishable in a bin in my room, talking it out and eating it in the location of my choice and then cleaning it up and returning whatever to my room.

I would not care if she wanted to talk to me or sulk or whatever since she clearly knows what is "wrong" in the relationship. I'd even get a bit ugly at times and, when I knew her boyfriend or others were coming over, I'd commandeer common spaces and "read", constantly getting "angry" at others for being too loud or otherwise annoying me. I don't think her boyfriend or the others will come over much if you take up the same space they want and are there first/not moving? If she wants to play games, play your own.