How you handle “silent beef?”

There’s been this silent beef between a girl and myself around 7 or 8 years now. I’m certainly not a fan of how she views me. She thinks the very least of me, as though I’m not entitled to anything good in this world. We’ve had a couple of opportunities to have a proper fair conversation but she rather utter under her breath in my presence or laugh whenever she sees me or demand “why is she here?” What happened between us doesn’t necessarily warrant that at all. She’d rather down talk on my name, I never really had that much of a tiff with anyone that they’d attempt to out me on SM to try to get people not to befriend or stay friends with me. I was under some pressure already with something else and I had messed up and yelled at her over something small, it was also a friendship that was getting weary for me yet I was trying to be a friend for her during her problems with her bf, her family, and I always gave her rides and even picked up tabs. After a year or two after the incident I had been ready to apologize and talk about it, and it’s not that we have to be friends. I’ve done my best to be the bigger person, she could care less and will always take the less mature route. I know I should not care at all and I don’t entertain it, it’s just wild someone can feel that way about you forever without giving fair opportunities to at least lay things on the table. This doesn’t have to follow me for the rest of the days like wow. I move on with my life but I have to admit it nags at my esteem. I ran into her today and noticed her bf first, as I walked past them she turned to see me after he told her it was me and of course quickly turned back around and laughed at the coincidence of me being there. Walking out I should’ve turned back around to give an “are we done yet?” look. How do you handle silent beef?