the complete opposite of vengeance

A friend of mine who is much more cultivated got me thinking in another direction about broken friendships. I would have called them unfixable friendships but that makes it feel absolute. What my friend did, was contact another friend that she had a irreconcilable differences with. She humbly reached out unnecessarily when she was RIGHT in this situation, to make peace. I know both people and I can say with certainty that the person she reached out to is probably going to blow it off and not fully recognize the effort made by this person. Regardless, my friend is at peace and will not have any tension with person moving forward. I want to do that!!

There's something noble in doing that appeals to me, but it's really about forgetting about it and moving on. Like, really moving on... So now I'm wondering who do I talk to first to see experience this?