Of course, you don’t need him. But guys don’t realize that.
They live for the feeling of being needed by someone because that way they think they are above you.
If you show your vulnerability and beg him to apologize or to come back to you, he will not do it because it is not inviting.
But, if you show him that you don’t need him and you’re perfectly fine without him, he will immediately realize that he’s done something wrong.
It will be suspicious to him because all of a sudden, you no longer need him or want him.
This will strike his ego, and he will feel bad about himself for failing as a man which will force him to feel sorry for all of his previous actions.