I like a guy at work, but he has a girlfriend. Do I stand a chance?

Anonymous
I work in a small team and I really like one of the guys on my team. I try flirting with him and he doesn't reciprocate the flirting but he doesn't stop me either. He just makes a joke and laughs it off.

The problem is, he has a girlfriend. He talks about her a lot in work, practically cooing over her and it frustrates me. I can tell he cares about her a lot and they are looking to move in together. He's not been with her too long but apparently they were best friends for like a year before they got together. I've seen this girl when she's waited for him outside and she is quite pretty. He's always hugging her when he sees her and kissing her, but could he be doing this for my benefit, to make me jealous?

I told him I'd send him a friend request on facebook and he told me that he doesn't accept colleagues, because he likes to keep work and his personal life separate. But I know that's not true, because he has one of the girls who work with us on facebook. So I send him a friend request that night and he rejected it.

He's said in the past that he can't believe he got someone like his girlfriend and he feels really lucky because she's out of his league. But I don't know if he's talking in work to make me jealous. hoping I'll overhear him. What do you think?

I'm wondering if it's possible that his girlfriend is stopping him from being friends with me. Because we seem to get on ok in work, we can have a laugh, but he won't accept me on FB and he only replies to texts when it's work related. He won't come out with me and another guy we work with at lunch because he wants to go and meet her!! Do you think he's interested in me but won't do anything about it because of his girlfriend? How can I break them up? Should I keep flirting with him?
I like a guy at work, but he has a girlfriend. Do I stand a chance?
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