Unable to locate Brave bookmarks location in Time Machine back-up

I am running MacOS Monterey 12.5.1. I am searching for my Brave Browser bookmarks in a previous Time Machine back-up.

I have reviewed and tried previous solutions to nearly-identical questions in this community, but I believe that something changed in the most recent MacOS updates. I am not seeing the folders/sub-folders that were shown in previous solutions. For example, (borrowed from a previous solution) this location does not appear in my TM back-up:
Mac OS X ▸ Users ▸ your_user ▸ Library ▸ Application Support ▸ BraveSoftware ▸ Brave-Browser ▸ Default ▸ Bookmarks
What are locations that I should search? Any hints?

Hi

Try searching for ‘Bookmarks.bak’.

thanks for your reply. Unfortunately “bookmarks.bak” was not found.