Brave is a very good browser and it’s rare to experience compatibility problems with websites. Another solution could be that you use Brave as your primary browser, and only use Safari for the websites that you need to use it on. Using multiple browsers for different sites is a valid strategy for staying private.
Q. I made Brave my default browser yesterday, but ran into a problem right away. One of the websites that I use for my health didn’t work on Brave. My question is, what do I do in such a situation? What if many of the websites I use don’t work in Brave, how would it be useful to me? The website in question is working in Safari. You didn’t speak about Safari. Is it ok to use?