Thanks for the replies.
I did do something - but it feels like all that was is wait even more. Do note that I had already waited for the message to end that WebUI was initiating (it does not give a login before that).
Anyway, I activated the BesPlugin “service” - fixlet #708 from memory, and cannot get on a console to verify I have that, and also filled in the details for the REST API. And then it worked.
So, is there a dependency on the plugin service, or the REST API ( that seems to need the plugin service before the task becomes relevant)?