Students in the university just attend classes together, go their separate ways after class, and just sit in a place as big and far away from the classroom. Breaking up is not a good thing, and there is no need to go public. Everyone knows better. If you don't sit with him in class, you won't often appear in public with him.
Before, everyone knew. Of course, a few ignorant people will ask you why you are not with him, so tell him generously that you broke up.
It must be a little sad for a while after breaking up, but it doesn't matter. After all, you made the right decision. I hate the kind of man who takes the initiative beforehand and pretends to be cold afterwards, like a girl chasing him. How long will you put up with him if you don't break up? For the rest of your life. So breaking up is the right decision!
If you feel sad, think about it. Do you think he is sad? Why are you sad? It's not worth it. It will hurt him to know.
As for the relationship after that, it is up to you. After all, you are in the same class, so it's better to be friends.