Adding Private Booking in Book With Me- Links redirect to public booking page.

I am experiencing the same issue as are others in our enterprise. With just a Private, the link was redirecting to the Public page so i added a Public Booking as well (just to see if there was some interdependency) - the Public worked but still not the Private link, i.e. error reads "No public meetings are available
The user is not accepting any public meetings through the booking page right now. Please contact them directly or check back here later."