What do you mean? Like from an official (ubuntu/centos) distro repo rather than than Brave's own repo with signing keys?
I think I know what you mean and I agree it would be nice to be able to directly download a tgz to extract into a local bin dir like Firefox does, keeping it completely separate from the O/S.
In Linux Mate I did:
curl -fsSLo /usr/share/keyrings/brave-browser-archive-keyring.gpg https://brave-browser-apt-release.s3.brave.com/brave-browser-archive-keyring.gpg echo "deb [signed-by=/usr/share/keyrings/brave-browser-archive-keyring.gpg arch=amd64] https://brave-browser-apt-release.s3.brave.com/ stable main"| tee /etc/apt/sources.list.d/brave-browser-release.list apt update apt install brave-browser
It's been a while since I looked, but I think there was just the instructions on the Brave site for installing. Hadn't tried it as I haven't been using Linux as much lately. Do those instructions work for Linux Mint? Not as familiar with Linux as I was (older) versions of Windoze.