I want to create a short introduction video about Brave Browser. Would this cause any copyright issues?
I think Brave is a useful browser, and I’d like to mention it briefly in one of my videos to share it with others. My monetization is turned off, and I only have 20 subscribers 
. If any Brave official sees this, can I get permission?
You’re totally fine! Talking about and sharing your opinion on Brave Browser in a video is allowed under fair use. As long as you’re not pretending to be from Brave or trying to sell Brave products or services, you’re good.
Just be clear that you’re not officially connected to Brave, and you’re good to go!
What @Saoiray is correct! In fact I’d love it if you shared the video here when it’s complete 