So, the most recent Apple update was installed on my desktop. So far so good…
And I had to enter my iCloud password… fine…
And again…
And again…
And again…

Hmm… Apple, we really really need to get this sorted out or at least provide some sort of indicator about what’s having trouble.
And, no, it’s not because I’ve forgotten the password. I’m quite certain what it is.
—
Update: Sign Out on the desktop. Sign back in. It looks like it’s successful.