<human>: Could you distill the essence of the text into 1-3 sentences?

My ex was a pretty crappy bf, low EQ, poor communicator, etc. We were long distance by countries so we were doomed to fail. Even after months of me telling him this rship was making me miserable, he was blind sided when I finally broke up with him and very hurt by it. After a lot of him begging for a second chance, he realized that wasn't happening and accepted it. When we last spoke, we went no contact for his sake. But, he kept asking me to let him know when I'm with someone new. I kept saying no at first, that it's not his business and won't help anything, but he kept insisting and u stupidly gave in just to shut him up about it. 

I'm seeing someone new now and am very happy. It's been a little more than a month since our break up. Should I keep my word and tell him, or not because it's really not his business?
<bot>: stupidly promised ex I'll let him know when I'm seeing someone new so he can "truly move on". I am now, and I think it'll do no good telling him. Should I?