I've been struggling as well. I was able to login once a couple of days ago for about an hour. Then I was not able to. I noticed that when logging in for sbcglobal.net account, it would transfer my login to att.net and ask for my att.net login. That worked once and then stopped working.
Reading the above replies, I turned my phone on as a hotspot and connected my laptop to the hotspot. Got the same login errors. Tried using both sbcglobal.net account and using the att.net account--neither worked.
I wonder if this is ATT's method for getting us to stop using sbcglobal.net accounts. I've had my sbcglobal.net email account for nearly 30 years...there is no way I can easily change all the places it is used. My husband has an sbcglobal.net email account and other than slow delivery of some emails he has had no problems. His computer is hardwired to the router. He does not use WiFi. My laptop does not have an Ethernet port so I cannot test this.