Unfortunately that particular test telling everyone their fingerprint is unique isn't very useful.
Try something like fingerprint.com, close your browser session, go back, and compare IDs.
On Tor Browser or Mullvad Browser, it should generally register each session as your first session, with unique IDs. If not, the useful life of the tracking should be short.
Relevant discussion: https://old.reddit.com/r/TOR/comments/qxt7di/tor_is_still_fi...