I am using the latest Brave version ( Version 1.77.97) on MacOs. I am using Brave for local development of sites. However I always receive DNS_PROBE_POSSIBLE if I try to access a local site. localhost works fine, but for example: clientsite.test is not working. I am using Dnsmasq and laravel valet for managing the local dns entries.
This happens only in Brave. Safari and Firefox are working fine.
Test, by disabling ALL of the extensions that you have added, and then try:
Install extensions, individually - no combinations (yet) - and test
Install in a sequence, one-at-a-time . . . and test . . . leaving any anti-virus and adblocking extensions to be installed, last - the anti-virus extension definitely last . . .