A current workaround seems to be disabling any form of text size scaling. In GNOME that would be Settings > Accessibility > Seeing > Large Text or GNOME Tweaks > Fonts > Size > Scaling Factor. This fixed was mentioned here: URL displays in lower left of browser window while hovering over a link - #20 by Saoiray
Or if you prefer to not change the size of fonts system-wide, you can disable Wayland UI scaling in brave://flags to disable scaling just for Brave.