Girls never flirt with me. Does this mean I don't stand a chance?

My approach has always been simple, to only ask out a girl who would show interest. Unfortunately for me, in all of my life, not a single girl has shown even a sliver of interest in me. I can't but feel that that means the whole thing just isn't for me. If I was even average looking, I'd at least get some signs of interest, but there hasn't been even one hint directed at me. What am I supposed to do with all that dating advice if I can't even get past the first step, the one step that's out of my hands?

Girls never flirt with me. Does this mean I don't stand a chance?
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