Girl liking me even though she seems to have a boyfriend. Was it right?

Anonymous
I used to like this girl at the gym. She also liked me back. I caught her staring at me multiple times. She also gave signals that she liked me. This continued about 2 weeks and then one day I found out that she was fighting with a guy in a cafe. I saw her and pretended that I didn't saw her and went home. Next day same I saw her but this time her back was facing me. So I did not initiate anything from my side. But then she also started doing the same thing in the gym. She also talked on the phone with that guy probably her boyfriend. Now really used to like her but now the question arises that if she is flirting with me or anyone while having a boyfriend, she might do the same to me some day. Or is it just that she is not happy with that guy. I started to ignore her completely because I was hurt and I no longer give her any attention. What do you think?
Girl liking me even though she seems to have a boyfriend. Was it right?
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