Invalid credentials on unreachable organization login

Though this might be an edge case I want to draw attention to this.

Because of an incident in my organization (Hochschule Karlsruhe) their authentication service is not reachable. Therefor I can't log into my account either way. This becomes a problem on the Desktop App (Windows 11). It leads to a kind of deadlock in Creative Cloud trying to reach the authentication service and failing with 

{"error":"invalid_credentials"}

With this I am unable to instead log into my private account to continue working.

Though I was able to remove my organization login credentials via Window Credential Manager as described in the Adobe help page here , this is not straight forward.
In my opinion a simple logout would be better.