Guesswork ....
There may be an option in Bluefire to deregister AdobeID, even though you haven't successfully registered one. ADE sometimes gets into confused half-registered states, and maybe Bluefire the same? It there is a way, try deregistering, and then try again to register.
Or uninstall Bluefire, reinstall, and try again to register.
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hmm, I try to read that referenced SignInDirect, but get
Error getting license
Server communication problem: E_ADEPT_HTTP_GET_NOT_SUPPORTED
I assume that this was some sort of help document. It seems crazy making support documents in epub formats.