Seeing restricted articles using Help widget on another web application

We have restrictions on who can view which articles in Zendesk and embed the "Help Center" widget in our web application.

Anyone using our web application would also be set up in Zendesk as the appropriate user type, so all of our Help Center articles would be available to them.

The issue is that when the widget is embedded in our site, the widget only shows the publicly available articles (it does not know whether the user is logged into Zendesk or not).

Since those users would have Zendesk credentials, we would like the widget to show them ALL articles. If someone was not logged into Zendesk, they'd be prompted to log in before they could actually read that article.