I like this girl (coworker) but i'm too socially awkward-shy to even approach her, How can I go about doing it?

we both work at a grocery but in different departments, I work in the front end where the bagger's and cashier's are and she works at the Starbucks kiosk that's located inside the store. I think this girl is really cute and I been wanting to go over and talk to her when she's actually working over there and eventually possibly ask her out but I physically can't do it my socially awkward-shyness wan't allow me to even when I have an opportunity it's like my brain shut off and I become not myself.

We stare at each other from time to time not all the all time and I've met her gaze a few times and a few of those times I saw her smile at me but that's as far as are interactions have ever gone.

I just need to know what a guy in my situation should honestly do? And, What would you all do if you was in my situation?
I like this girl (coworker) but i'm too socially awkward-shy to even approach her, How can I go about doing it?
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