I see so many misconceptions on HN about that coveryourtracks site. Neither of those results are ideal.

"randomized fingerprint" -> that's a bad result, it means the site can detect you're spoofing info

"unique fingerprint" -> this is good, ONLY IF you refresh and it still says "unique fingerprint", because it means the site sees you as a brand new visitor each visit, and doesn't detect any (what advertisers would call) nefarious behavior. however, if you visit again and the second time it says "nearly-unique fingerprint", that's a fail because your two visits were linked

The ideal result you should aim for is "non-unique fingerprint". That means your device is indistinguishable from countless others. Blending in to the crowd is what you want.

These tests aren't reliable - Brave does randomise values but it ultimately doesn't do much to prevent fingerprinting, as many values remain static. For example, Brave still exposes your GPU model and driver version.

See Fingerprint.com, despite Brave's protections you'll likely find it works reliably.