<human>: Give me the gist of the text in a nutshell

Heya /r/relationships. First time posting on here. Hopefully won't need to post many more times.
There's a girl who was my best female friend in High School. We would hang out regularly and do all the cliche "besty" type stuff. After college I moved away from our rural stomping grounds to the city life.
She has recently gotten out of a relationship with someone who was absolute garbage to her, and I couldn't be happier, but she's started coming up to visit me in the city more often.
It's made me realize how much we've grown apart and bringing her out with my core friends in the area is borderline embarrassing when she drinks too much. I understand there is an acclimation period to the different lifestyle, but I haven't noticed any attempted improvements with her noticing when to stop acting both unreasonable and annoying.
She's been trying to come up even more lately, and has even mentioned that she's applying out near the city and that we should live together, which I would absolutely not do.

What do I do now that she's inviting herself out to my events and publicizing our "bestie-ness"??
Is there any way to make it more apparent that I think we are just different people? Or am I a terrible friend who isn't giving her long term friend a chance?
I appreciate the help.
<bot>: Old best friend is now trying to incorporate herself into my personal life and friend group since her breakup and is mildly embarrassing but don't know how to say it.