Girls, How do you approach a shy Girl copycatting you as a shy Guy?

We are mutually drawn to each-other, and she mirrors me to a level I did not think possible. Neither of us has the nerves to approach the other, and maintain looks from a distance. We last shared a genuine closed-mouth smile with direct eye contact... I am smitten, but I don't know how to progress.

Girls, How do you approach a shy Girl copycatting you as a shy Guy?
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