Hmm. Here's what I think: saying to her things like: "I know you have a boyfriend" disqualifies you. Unless you just want to be friends with her. But If you want to game her, here are a few tips.
Women with boyfriends,
can have affairs with other men. These men I'm talking about are those who are better than their actual borfriend. If you want to game her, you have to become better. Make her laugh harder, be there when he isn't, use kino on her, do things no one else has done to her.
Don't tell a girl you want to know her, simply do it. You must not ask for permission. It's not illegal to get to know someone. If she doesn't want it she'll tell you.
If you want to ask her out on a date, ask her like she had no boyfriend at all. If she's interested she will accept, easy as pie. If she mentions that she has a boyfriend, you could say: "Oh, Im sorry, you must have thought I was hitting on you, I was just trying to be nice

"[Read this from Jay Wa or something] or something like that.