Brave (Mac Desktop) does not find Figma desktop app or open links in app

This issue was reported by another user, but the thread was locked without reply: I can't open links in the associated app using Brave Desktop

I want to go straight from Figma links to the Figma desktop app. (Their browser app is less performant, feature constrained.) Clicking Figma links only opens the web app, with no option to favor the desktop app. Opening the Figma menu has an option for “Get desktop app” even though I’ve already downloaded the app. The Figma preferences menu should have an option to Open in desktop app - it does not. None of these issues occur on Chrome, Safari.

How can this issue be reproduced?

  1. Have a Figma project link
  2. Open the Figma link
  3. Browser opens the link in Brave

Expected result:
The Browser should open the link in the Figma desktop app

Brave Version( check About Brave):
Version 1.21.74 Chromium: 89.0.4389.72 (Official Build) (x86_64)

Additional Information:
MacOS Big Sur 11.1