how to run SSMS as a different user?
I noticed you are running version 130. Apparently SSMS 2016 fails to run as different user as reported below. I have experienced this myself. Quite frustrating.

https://social.msdn.microsoft.com/Forums/sqlserver/en-US/1315261c-0d9e-49bf-8334-6c0195015598/ssms-2016-fails-on-windows-10-version-1607-while-trying-to-execute-it-as-a-different-domain-user?forum=sqltools

https://connect.microsoft.com/SQLServer/feedback/details/3009405/ssms-2016-fails-on-windows-10-version-1607-while-trying-to-execute-it-as-a-different-domain-user