The Brave browser for desktop has been updated to version 1.29.81. This update to the Release channel was released on September 14, 2021.
Brave 1.29.81 has updated the Chromium foundation that it runs on to version 93.0.4577.82. No other information has been included in the release notes. You can, however, check Google Source for what you can find in Chromium 93.0.4577.82 here: chromium / chromium / src / 93.0.4577.63..93.0.4577.82.
To update Brave, open the browser and then head to Settings > About Brave. It will then automatically check for updates and let you know when your browser is up to date.