I'm aware you don't want any advice on this. You dislike her, you want to punish her until she magically becomes what you want her to be or clears off. So I'm writing this in the hope someone else reading this listens.
As the older sister of an emotionally needy (favourite, charming) younger sibling, I was very aware that my needs would never, ever come first. In your daughter's case they often can't, of course, but that doesn't alter how it feels. She's grown up seeing you put her younger siblings ahead of her. She knows asking nicely for things, waiting her turn, stepping back, being quiet gets her NOTHING. It just makes her easier to overlook. So she acts entitled. She demands it, because sometimes that actually works.
She knows full well that you dislike her. She won't know that you love her underneath that. How can she? She can't see that. So why bother being nice to you? If you already dislike her? It's just handing you ammo, opening her up to being hurt or ignored even more. Even if it's not true from your perspective it is from hers.
Living at university she'll be picking up what other families are like. Flatmates/hall mates talk a lot, especially drunk. She will see families who always pick their kids up, who actively WANT to chat on the phone, who post care packages, who turn up for a day out - and she won't notice the families that don't. She's going to double down on the entitled behaviour because she's seeing so much divide between what she wants and what she gets!
My mum made me catch the train or coach. My dad drove to pick me up when he could, against her wishes, and we chatted on the way home and reconnected. They're some of my best memories of my dad. When mum put her foot down and wouldn't let him pick me up any more I stopped going home other than the mandatory few days over Christmas. Why would I? I clearly wasn't wanted. At 20 you think in absolutes.
I have to say that I love my dead dad a damn sight more than my live mum. I have no desire to see her any more. Why would I? But if I had the chance I'd travel across the world to see my dad for an hour, if only to pay back the times her did the looong drive straight after work on an empty stomach so I wouldn't have to sit in empty halls longer than necessary.