@altineller
In a Brave Browser New Window, go to: brave://version
Scroll down to Profile Path - The location of the BraveSoftware data folder is in that Profile Path.
That find-the-Profile-Path method for locating that BraveSoftware folder, takes into consideration, that the folder location can vary, among the Linux OS installations (Debian, Mint, PiOS, Ubuntu, etc.).
One reason why the BraveSoftware folder is important, is because it is the parent, for:
Brave-Browser → Stable release version
~/.config/BraveSoftware/Brave-Browser/
Brave-Browser-Beta → Beta version
~/.config/BraveSoftware/Brave-Browser-Beta/
Brave-Browser-Dev → Dev version
~/.config/BraveSoftware/Brave-Browser-Dev/
Brave-Browser-Nightly → Nightly version
~/.config/BraveSoftware/Brave-Browser-Nightly/
So, if your (let’s say) Computer_User_Account_A setup is completed with no passwords involved, no website logins . . . then you might place a copy of the BraveSoftware folder in position for another Computer_User_Account_B - BEFORE running Brave Browser as that User_B.
That might succeed; no harm in trying. If you use Brave’s Password Manager, then you would export from User_A and import for User_B (I imagine ← I have never done that (I use a 3rd party password manager)).
Otherwise, I would find an extra computer and use it as a Brave Sync hub. First, sync between User_A and Sync_Hub; second, sync between User_B and Sync_Hub. (I imagine ← I have never done that.)