I have created some bookmarks and activated the bookmarks bar. Here is what I have found:
If I right-click on any of my bookmark, then click on anywhere (irrespective of the position of the mouse pointer) on the bookmark bar, then it opens the bookmark website in a new tab.
And, if I delete a bookmark, it opens the website and then deletes it. I don’t know if this is a feature of Brave browser, but, natural instinct says that the bookmark should get deleted without opening in a new tab.