Despite Brave being set as my default browser on Android, it still shows the big button in the dotted menu, and right under my thumb.
Additionally it doesn’t help to have the Brave Rewards/News button be there, as I never use them. It ends up wasting useful space.
Perhaps, in the appearance settings, you could include a switch for the people who don’t use Brave Rewards/News? And switch for those who have set Brave as their default Android browser already.
