Should I wish Happy Birthday during no contact?

A girl i had sex with left me with the impression that she wanted something more, since she wanted to hold hands, sleep together hugged and she even let me know her family. Unfortunately she is actually busy (she works 3 jobs and goes to the gym) and she started to act distant so i went no contact. It has been around 20ish days, but she still watches my IG stories and likes all the pictures that i post. So i was wondering, since her birtday is in about 3 weeks, should i wish her Happy birthday or get her some flowers?

Should I wish Happy Birthday during no contact?
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