You can be at peace with someone without being close to them again.

Forgiveness and closeness come apart more often than people expect. You can genuinely stop carrying something, want them well, and not want to be in their kitchen on a Friday, and that is a complete position rather than a halfway one. Trying to restore the old closeness as proof you have moved on often just reopens it. Peace is about what you are carrying, not about proximity.

If someone is on your mind, you can send the friendly message and still keep the distance. Decide which one you are doing before you send anything. Both are allowed at once.