Dairy free, but having Ghee?

I’m dairy free for autoimmune activity reasons, when I reintroduced dairy by accident I felt super tired and brain fogged, like I was hungover almost.

I decided to try to use Ghee because I read it has the milk proteins removed, or something? I understand that it is still technically dairy, but I’m wondering if anybody here has managed to eat it without any symptoms AFTER being dairy free?

Sorry this is so specific, I can’t find any other threads about it 😅