Installation is not the problem, but if you run a dnf update you get an error message. If you then check the repos (see additional information) you find a invalid URL. I tried this on two different machines after somenone else complained about in in fedoraforum.org. I do not believe its machine specific.
Interestingly enough: When doing the installation according to the information on your website, the you end up with two repo-files in /etc/yum.repos.d/ brave-browser.repo and brave-browser-rpm-release.s3.brave.com_x86_64_.repo. The first one has an invalid link and can just be deleted.
I had the same problem yesterday (my first setup in Fedora 29) and have it today too:
brave-browser 12 kB/s | 1.4 kB 00:00
Failed to synchronize cache for repo ‘brave-browser’
Ignoring repositories: brave-browser
Last metadata expiration check: 0:21:29 ago on Wed Mar 6 17:43:31 2019.
Could you please check on your side what happened?