In my personal opinion get into game mode its a much more useful way of finding out whether she is single or not. Be confident in yourself ask what you think is right you can even be straight forward i mean just because you ask a question dosen't mean your already interested but when you ask, ask in a more less obvious way if you know what i mean. If she does say she has a boyfriend don't worry about it just go along like its nothing if you really want her then play the game and go for the competition, just be yourself you should be fine, get closer to her i mean asking out a girl for coffee doesn't always mean you have an interetest or thing for her i mean i asked my x girlfriend out for dinner a few weeks ago and she thinks i'm up to something when i'm not and just still good freinds with her.