Should I encourage my mom to move to assisted living even though she doesn’t want to?

5.5 years ago my then 88yo mother and I bought a house together. She had been living alone since her divorce 30 years prior. It was mutually beneficial since she was starting to need help with some things and I was separating from my husband. Our relationship has always been prickly, each stubborn and able to push each others buttons easily. We acknowledged that and agreed we would work to keep a peaceful and happy household. Things were fine until she started trying to parent her grandchildren. I set her straight on that, telling her that I am responsible for raising my kids. Then she had a fall and broke her hip. Since then her mobility has declined, she uses a walker and her hearing has diminished. She is still very independent, still drives and can care for herself but there are certain things she needs help with. Over the years she has become very frustrated with her inability to do things she used to do. I feel that she takes those frustrations out on me. She doesn’t like to ask for help even though part of us moving in together was so that my kids and I would be there to help her. She has become increasingly grumpy and negative. She spends most of her time in her room watching tv, shopping online or keeping herself busy with small projects. I try to engage with her, suggest outings, family dinners, game nights… but her frustration just escalates because of her hearing problem and then she verbally lashes out. She wants everything to be her way - be quiet while we’re playing games so she can concentrate, order/make the kind of food she likes, agree with her political opinions, act immediately when she asks for something… if you don’t then she accuses you of not loving/caring for her or validating her feelings. She thinks it’s ok to say whatever she wants because it’s her opinion - even if it’s hurtful. She’s body shamed my daughter and verbally abuses me anytime we have a disagreement. Funny thing is she never puts down my son. Her tone and interaction with him is completely different. It was exactly the same growing up - my brother could do no wrong. After years of analyzing our relationship, myself and through counseling, I’ve come to understand she is a narcissist. She never got over my dad leaving her and to this day blames me for not supporting her when he left. She also likes to tell me how much I’m like my dad which to her is not a compliment. I think she is looking for me to make her happy, feel loved, connected but I’ve told her that has to come from within. She does not make it easy or appealing to get close to her. It’s almost like she’s creating her own worst nightmare - ending life all alone. I’ve told her since we bought the house that when my youngest goes off to college our living arrangements will need to change. I’d like to downsize and have my own place and a few dogs. I don’t want to live with her because of the verbal assaults and usual negative unpleasantness. She has said she just wants to live with me. I feel an obligation to care for her and guilt when I think about going off on my own. She says I don’t love her and I’m just trying to get rid of her by suggesting we look into senior living options.