According to Microsoft's Documentation (I can't add more than 2 links due to rep, so Google
Microsoft Teams schedule meeting, click on the first result titled
Meetings and calling - Office Support and expand the "What's a private scheduled meeting?" section), you can schedule a private meeting using the calendar icon on the left-hand side.
I don't see this icon. I see Activity, Chat, Teams and Files at the top, and at the bottom, Feedback and my Avatar.
Is the icon something I need to enable? Something that could possibly be restricted by the type of Office 365 subscription we have (Education - Faculty and Staff)? I can't see any settings in the Teams app / website, and private scheduled meetings is turned on in the admin section of the Office 365 portal: