She's single, and she's not hiding that fact from you. This, to me, is an open doorway my friend. As was mentioned, the fact the she told you that she "likes being single" could just be her fronting to get out of a tricky question, and could just be a bit of dating gameplay. Either way, you've got absolutely nothing to lose in asking her out. And since you know she's single, your chances are just so much better.
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