Question about Judaism and Forgiveness

So I’m not Jewish but recently encountered a discussion about Yom Kippur and the principle of attempting to forgive three times.

In twelve step programs, like AA, there is a step about seeking forgiveness. One of the components of that though is to not seek forgiveness if it would harm the other person. This might mean like someone who has a restraining order against you, or at the very least has expressed that they do not want any sort of contact with you…the implication being made that they have made the decision that encountering you again would be more painful than any alternative.

In that situation, if you were to genuinely love this person, you would put their wishes first and refrain from contact.

But often we hurt people because we are immature. What if we grow and, in hindsight, see how poorly we treated someone, see the impacts of our actions in a way we were unable to before simply out of ignorance or incapability? But now you understand and would want to atone, yet your respect for the person dictates adhere to their wishes and you do not contact them?

My understanding is this rule of 3 attempts is predicated on the person rejecting your attempt to atone, but if you can’t actually interact, you can’t actually communicate. And mind you, your choice to not make the attempt is because you want to respect their wishes, to put their needs ahead of your own?

How does Judaism handle this situation?