This security issue affects brave according to the article OP linked.
This is old news, the update was made available by chromium project on around 2 Sept. Brave was updated itself on Sept 2.
https://github.com/brave/brave-browser/issues/25173 with this update https://github.com/brave/brave-browser/issues/25195
The article OP linked is actually posted 4 days later on Sept 7 for some reason when most of users of chromium browsers like chrome, brave, vivaldi, opera would have updated their browsers as all these browser makers must have issued an update.
Also, brave takes about 12 hours to issue such updates ( I have observed it). Sometimes 7-8 hours. The updates are done quickly from brave’s side. So, no need to worry even about future security issues affecting brave/chromium.