Should I break up with my partner because of their depression?
Why do you want to break up with your partner over their depression?
I don't really know how to deal with him.
If your partner has depression you should support him. It's not right to leave him for his condition. You'll make his situation worse.
Maybe you're right but I just don't have time to deal with it at the moment.
I know that supporting others can be a burden, but helping your partner through their depression is the right thing to do. You will be glad you did it once you both can get to the other side of his difficulty.