Should I give up?

Back story: met this girl in college and took her out on dates for several months but never dated. 2 years later, Shortly after we both graduated we reconnected, hungout and went on dates but once again never actually started a relationship. Now 2 years later I moved out of my college town and it turns out she did too.

This year: She swiped up on my Instagram story to ask a question and I learned she moved 8 minutes from me. Now she has a guy posted in her Instagram but from her effort to keep the conversation going I assumed maybe they broke up and she had yet to delete the pics. We met up for coffee and talked for 6 hours, turns out she’s still with the guy but they’ve been doing long distance for 5 months and they see each other once a month. She expressed she didnt really enjoy doing distance and if they were not living together in a year then she would leave him. She didnt bring him up much but it was a good time hanging out. She did mention that he never golfs with her so 2 weeks later we went to Top Golf , then we Got milkshakes after, went back to her apartment complex where we ended up playing Horse on the basketball court. We were laughing and talking all night then got on the subject of 2-stepping. She said shes never done it so I gave a quick lesson. Afterwards I went home, there were times when she seemed to like what was going on and opened up but then she’d pull back and try to keep things friendly.

We’re supposed to go check out an arcade this weekend and Im wondering if I should even bother, I’ve slowly been turning up the romance and being more flirty when we text but she doesn’t really reciprocate (she never was good at flirting anyways and naturally is a dry texter). I wanted to make my intentions known but it’s also weird cause she’s still with this guy. Do I cancel and leave her alone?