Hello Olande, I have not stopped the update process. I’ve only delayed it by not relaunching the app. There is a message on the on the About page reading “Relaunch Brave to finish updating”.
There is a thread on the topic of preventing updates with a possible interim solution at The option to turn ON / OFF Automatic Updates. Please - #4 by mikchester.
I may try it. Meanwhile. I haven’t exited the app or rebooted the PC.