Girls, would you approach a guy at the library?

bladesdragon3
I’m a fairly good looking, but shy and unsocial person. In order to meet other people I am forcing myself to go to public places. Long walks through town and dinning alone have produced zero acquaintances over the past few years and as I get older I feel even more discouraged. Lately I’ve been spending about an hour every Saturday at the library. Researching various topics so it’s not a complete waste of time. I have yet to see anyone my own age (who doesn’t have a child) as of yet and I wonder if a person would even approach someone at a library. Honestly it seems somewhat rude to me. Although I do not spend the time deeply reading anything. Would you approach a guy, or would you leave them alone?
Girls, would you approach a guy at the library?
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