It’s likely due to an issue with the fight against youtube ads. Overly aggressive shields are crashing the browser. First,
Settings → Shields → Trackers & ads blocking: Disabled
Then, you need to disable the Shields on youtube.com and google.com on first visits. Once that’s done, you can reenable it. Then use uBlock Origin or your preferred adblocker in its place.
Saoiray posted the version you need.
Keep an eye on these threads for possible news updates:
Scripts on Google search page are crashing Brave
Brave has been crashing since afternoon