The Brave browser is basically Google Chrome at heart and Google for reasons best known to themselves decided their browser was 'special' and shouldn't play nice with everything else on your computer.
This stopped Groupy (and other applications) from working correctly with them.
We have been working on a workaround, but it seems that Google may have had a change of heart as Chrome is now allowing Groupy to work with it again, so if this is the case then I imagine the next Brave update may well also fix this.
Regardless of how Google respond in the future, we will be rolling out our workaround for Chrome's behaviour soon as part of the Groupy 1.3 update so if Brave does not get an update then this should at least allow it to group again. It may not work as well as applications which do follow OS standards however.