Solved! Tried again this morgen and it worked immediately, just like it should. So the fault was clearly at Google's end and they have fixed it. Yay!

While I do commend Google for fixing it, I sure wished they would communicate this stuff better. Maybe a webpage with the status of all their services. That would have saved me a lot of time because I would just would have waited a bit then instead of wasting hours of my time the last couple of days. 

@Matt : I don't have any tech support because I'm still using the old Legacy GSuite (Google apps in the days) which was and is still free for users that were using it before they transformed into a paid service.

@Andy : I also found that link, but indeed, it was about MacOS. I have to admit it was that link that started to make me think the fault was either with Google or Apple...

Cheers!