It's one of the "classics" I used to dismiss but have come to appreciate recently. The sound is lovely; however, going by the full name all the time would become very pretentious, very quickly, so a nickname is inevitable. And of those, the only one I like of the "established" nicknames is Becca - Becky is decent but bogged down in memes, and Reba is just terrible (McEntire not withstanding).
I think Bex might be a cool, unconventional nickname, though. Or Rebel!
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