Can't sign in to Creative Cloud app on my Mac

I have been updating passwords and now find I have a problem logging in to my Creative Cloud app.

I can log into my Adobe account using the latest settings with no issue. I have also enabled two-step authentication.

When I try to log in to Creative Cloud app I enter my e-mail address, new password and then I see the screen to input the authentication code sent to my mobile phone - once I enter this the app kicks me out with 'unable to verify your Adobe ID'.

But logging into Adobe.com is just fine.

I have double and triple checked the data I am entering but can't see what's going wrong.

Any ideas please?

Thanks in advance.