Obtaining the Email Address of a Login User in a Different Domain

Published as a web application
Run the application as: Who is accessing the web application?
Users with access to the application: All

If you are configuring and scripts

Session.getActiveUser().getEmail();

Then I can't get the email address of the logged-in user in a different domain than the script owner

In this case, is there any way to get the email address of the logged-in user?