Possible Issues
Issue #1: Web Browser Configuration Issue
Temporary Solution
If you are facing this issue, it means there's a configuration issue for multiple Google accounts. You can simply open a new incognito window as shown below and try to open the application there (you need to login to the university G suite email account inside the incognito window first).
Permanent Solution
If you are facing this issue, it means there's a configuration issue for "multiple Google accounts". You can simply open Google Chrome go to the icon that shows your Gmail account as shown below.
Click on the icon, your current account and other profiles you are logged into will be shown in the menu that appears. Then click on the Settings icon.
The following window will open with all the profiles that you are logged into. Delete all the profiles by clicking on the three dots(More Actions) to the left of every profile and clicking on Delete as shown below.
After deleting all the profiles, log into the faculty email first and then log into any other email you need to.