She has a boyfriend. Now What?

[CDR]

I met this girl in my drama class who is really cute. I got partnered up with her for a two person scene which means me and her are going to be alone together a lot for the next 3 weeks. I had been watching her since I first saw her and now I got an opportunity. Today me and her talked the entire class and didn't work on anything for 2 hours. We had a ton in common and hit it off like old friends. So I was thinking later on asking her out. Come to find out when I added her on facebook, she had a boyfriend. She has only been dating him since July so it ain't like she's married lol
What do you guys think? Should I just continue on and flirt with her or should I friend zone her? haha

I rarely pursue girls unless I find them worth pursuing which has been 3 times in my life.
If I do pursue her how should I do it if she already has a boyfriend?