If you do NOT see the private address link in your calendar settings, please follow these steps.
1. Visit admin.google.com (make sure you have admin privileges for your GMail account. If you do not, you will need to contact your webmaster)
2. Inside Google Admin, Click Apps -> G Suite -> Calendar -> General Settings (dropdown)
3. Under 'General Settings' make sure the following options are selected, as shown in the screenshot.
4. Go back to your Calendar and the private address should appear