Hi Brian,
Thank you for getting back to me,
my MacBook Pro is running macOS Monterey 12.3 and yes I can sign in through the website appleid.apple.com
MacBook info:
MacBook Pro (16-inch, 2019)
2.3 GHz 8-Core Intel Core i9
32 GB 2667 MHz DDR4
Intel UHD Graphics 630 1536 MB
So here is what happens when I try to sign in to facetime on my MacBook Pro, I open the Facetime, the camera runs and I see the Sign in box, I type my Apple ID and Password then click Next........
the loading circle appears, stay for a while trying to sign in then bring me back to the Sign in box again with no error messages whatsoever.
Cheers