I'm in the same boat, and I have a working Customer Connect login with a completed profile.
For me it doesn't matter what browser, what OS, what DNS server, whether I'm using private browsing mode, whether or not I've cleared browser cache, or what desktop/laptop/OS I'm using, and I've tried several all around, none of it matters.
I keep being asked to complete another CAPTCHA over and over with the error "Something went wrong. Please try again." See attached.
I'm fairly convinced at this point that it isn't me, given the exhaustive list of combinations I've been trying. But I'm also happy to be proven wrong. Clues welcomed!