How to cope with someone who hurt us, but make it as if we are the one hwo hurt them?

Step back and look at the situation. Confirm that you weren't the one to hurt them (because sometimes we don't realise that we did)

If this person is spreading false lies to other people and causing trouble, then call them out. if they refuse to listen then just move on. Short of brainwashing I don't think you'd be able to change their mind.

These people are not friends but toxic acquaintances. When the time is right, and you will know when, cut them out of your life.

Move on ! tell them they are not worthy of you! Find someone tat makes your happiness their desire!

I get rid of them! What's the alternative?

Avoid contact

[youtube=https://www.youtube.com/watch?v=b2ff8qXa248]

Do not let people like that in your life.

Cut them off.
That is manipulative behavior and only gets worse as time goes on.