I think that's a good way of looking at it. If you want to ask her out, you should.
Oh, I don't know. Men and women can be friends, so long as one of them isn't trying to "play the long game" just to get into a relationship.Or if the woman was a lesbian. Or if you yourself were gay. It's fun to say "oh, such and such is cute" and for a gay friend to go "he's an avoid, treacle". xDD
Sounds suspiciously like you really do like this girl.
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