Wishing my ex girlfriend a happy birthday?

Anonymous
Im just wondering if I should wish her a happy birthday. We were great for about a year but the relationship wasn't really going anywhere and we both didn't see it going anywhere seriously in the future. However we do both still have feelings for eachother, I know this because I have received a few texts from her telling me that she misses me (which I've ignored). Although she was the one that ended it about a month ago should I break no contact just to wish her a happy birthday? We were both really close and such great friends and I know that if it were the other way round I'd be so annoyed if she didn't wish me a happy birthday. We both know that we will see each other as we go to the same college. Should I keep no contact or be the guy to text her I know it'll happen sooner or later either on her side or mine.
sorry for this long winded question would just like to know everyones thoughts :D thanks
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Wishing my ex girlfriend a happy birthday?
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