I have two user accounts on my macbook for work and personal use which uses Brave browser
My personal account is my main account and I switch to my work account as needed. I switch from my personal account to work account and then log out from my work account and re-login to personal account.
Brave does not load any new websites.
If I click on a new website from an email or bookmarks I see about:blank and a sad smiley face as the favicon on that tab.