Is it normal and okay for siblings to bully each other?

I am so tired of my grandma who raises my 15 year old brother and I. He calls me names like fat, ugly, stupid, etc. He always tells me stuff is my fault when it isn't. I tell my grandma this, and she turns it around on me and tells him not to even joke with me anymore because I can't take a joke. She said her siblings always did the same to her. It's just what siblings do. I told her that's why she has had so many psychological problems because she told me the comments from her siblings caused psychological problems. I asked if she wants me to have the same problems. She blew me off and says he's just joking. Whether bullying your sibling is normal or not, doesn't mean it's okay in my opinion. I tried telling her this. It's still somehow my fault for not being able to take a joke.

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