<human>: Can you succinctly summarize the text in 1-3 sentences?

Me (F 30) him (M 29) her (F 29)

She (the ex wife) and I are kind of friends. She told me this a couple weeks ago. I knew he had been doing it when he and I were just friends. Didn't know it continued. They have one child together and are still friends. She has a fiancé. 

I have yet to call him on it. It's something he's always done. We have been on and off for the past 9 months and he use to say it to me on occasion but not since we have been back together this time (about 3 months).

Is this something I have a right to be upset over if he has always said this to her? I know it's not cheating and she doesn't want him, but she doesn't discourage it and it really hurts my feelings that he doesn't say that to me but still says it to her. I know if I say something it could lead to a big fight. I KNOW he will get defensive and be pissy about it.
<bot>: boyfriend still texts "good morning beautiful" to his ex.  It hurts my feelings, but he's always done it so I don't know what to do.