Would you say it is forgiveness if I wish the person well but now want nothing to do with this person? I actually want to avoid this person at all costs.
There is distinction between forgiving (doing your best to be good to the one who was not good to you) and reconciling (which takes trust). If your trust has been damaged by the other person’s behavior, then you can forgive and not reconcile. The fact that you are wishing the other person well is a sign that you have forgiven or are in the process of forgiving. This wishing the other well is a sign of your being good to the other even if this is from a distance.