Official comment
This is Windows authentication on a government laptop. As far as I have seen, there are measures built into the system to prevent such. For example, when you choose "Run as a different user" a screen will appear that you would require system permissions.
I recommend the following:
1. See if can switch users using the Web Interface: https://blog.vinewave.com/how-to-sign-in-as-different-user-in-sharepoint-2013-2016-on-premise-956f1790d721/
2. Asking the developers/administrators of the share point site to allow a web interface or REST call to switch users.