IF You *stop* receiving the emails "Login from a new device" ... "Do You want to add this PC to Trusted Devices?..." (because You once in a lifetime USED TO HAVE a full mailbox ...... as I did, back in 2020).
Go to a device where You are already logged into your TeamViewer account (in the client / or in the web browser)...... if on web, go directly to Account - Security - Two FActor auth ... and ACTIVATE IT!
if You are in the client, go to:
"Options" - "Computers and Contacts"
and click on the "manage two factor authentication" link !!! - it will take You to the web page with some TOKEN-based AUTO-LOGIN ! :-)
HERE is the workaround:
ENABLE TWO FACTOR AUTH ! - it is Your ONLY CHANCE to get to Your account........ once this "Trusted Devices" feature FAILS! :-)))))))))))))))
Took me some time to find out... :-(
Hope this helps someone!
Have a nice day! (cause I did NOT! - when I was unable to login to TeamViewer for 3 months from my UPGRADED home gaming PC xDDDDDDDDDDDDDDD ).