Chrome provides a built-in tool to export bookmarks into an HTML file. This file is in that it is not tied to any Google account and can be used independently.
First, a quick clarification. There is no browser officially called "Chrome Exclusive." The most likely interpretations are: copy favorites from chrome exclusive
This method works for any Chromium-based browser, including Brave, Opera, Vivaldi, or any hypothetical "Exclusive" browser. Chrome provides a built-in tool to export bookmarks