Can't update iCloud account on macbook pro OS X 10.9.5

Hi All,

I have updated my apple ID password in all my devices. So far so good.

Now, when I try to update my icloud account on my macbook it keeps asking me to enter the verification code after entering the password.

I do receive the password in all my devices. The problem is that I cannot see or spot a window or section where I can introduce that code. Therefore my account remains 'unverified' - if that makes sense.

Maybe the screenshots helps to see my issue. I'm running OS X 10.9.5 on a Macbook Pro retina 15 inch late 2013.

Any ideas please? Thanks in advance.