Should I tell my ex's new girl that he is texting me behind her back?

My ex has been texting me a lot recently but he is currently with another girl, who tbh doesn't seem his type in any way shape or form either.
Anyway should I tell her? As I feel really bad this is happening and he is out of order for doing all of this.
Should I tell my ex's new girl that he is texting me behind her back?
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