I use a few packages from Homebrew and don’t have any problems with it. By default it installs itself into /home/homebrew or something which I didn’t like so I put it into ~/Applications/Homebrew instead using these steps. It warns that you may be forced to compile software if you do it this way but I’m down to clown so whatever.
The biggest problem I have with it is that you’ll need to keep it updated alongside your regular packages, which I do by aliasing a simple upgrade command that runs all my package manager upgrades.
I would also recommend ungoogled-chromium as an alternative to Brave, which does have its own official Flatpak (not marked as such but it’s linked to in the ungoogled-chromium project github).