Brave no longer works on MacOS Big Sur?

Release Channel shows 2 download sites:

Whichever you have already tried . . . maybe try the other and see what happens.

BEFORE doing that . . .

Quit everything.

Locate the “BraveSoftware” caches folder:

/Users/user_shortname/Library/Caches/BraveSoftware

and move that “BraveSoftware” folder to the Trash.