I'm a Sys Admin with 20 years experience. I know how cookies and browsers work. All of the browsers I use are set to accept cookies, but this site and B bodies only both constantly prompt to accept cookies. I wouldn't have brought it up otherwise.
So your browser isn't set to clear the history when closing, or to ask every time about cookies?
I mean no offense by this so please don't take it wrong, but if you have a background in this and you seem to be the only one with this problem (or only one annoyed by it enough to ask about it) then it's completely possible that there is an option or issue on your end that needs attention to solve this.
Otherwise all of us, or a lot of us would be having the same problem, right?
I run the three most popular browsers for different reasons and don't have this issue with any of them.