Is it okay to send my ex girlfriend a happy birthday text?

Before you guys answer let me explain something. We dated for 10 months, within that time we were really close I did a lot of things for her, I was really there for when she needed me. However the break-up was not mutual, she suddenly without fight or anything stopped picking my calls. Like everything was fine and the next day she started acting like she didn't even know me. She even lied to me and left the country to study abroad without even saying goodbye I had find out from our mutual friend that she left. The whole thing was really shocking and heartbreaking for me because I never thought she would do that to me after all that we shared together. But now I'm over it after a long thought I realized my relationship to her and hers to me was totally different. And no I'm not trying to get her back, in fact I don't even want her back as a romantic partner. Sending her a happy birthday text is just to show her despite what she did to me I still care for her and wish her well, I don't expect her to respond or anything. I still haven't made up my mind about sending the text, what do you guys think?
Is it okay to send my ex girlfriend a happy birthday text?
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