Just got hung up by Tech Support the third time when I asked to speak with the manager. It seems calling the support line is completely useless. They just hung up on you and hope you get someone else when you call back.
I did finally resolved it.
I went back to the Account and Billing support link listed in https://support.microsoft.com/en-us/contactus#. Instead of calling the support line, I selected Chat instead this time. I chatted with Andrea M. Sent her the links of the offer page
Free Upgrade Offer Page
and told her that the support line denied the offer. Andrea M did not give me any runaround and asked me for the license keys. In 10 min, she sent me the links to download the Visio Pro 2016 and Project 2016.
Thank you Andrea M.
If you are still suffering being kicked around by MS Tech Support groups, use the Chat. The people manning the chat knows what they are doing.