When adding my page () to my group integration, I get Error:
That name does not appear to be the name of a Facebook Page.
When asking this prob here, I get folk saying to make my page PUBLIC. But that's fallacy. All FB PAGES are PUBLIC, only FB Groups or FB Profile can enact privacy.
I've been running or help run, FB Groups & Pages since 2010.
From Facebook HELP area.
Pages are public spaces so people can access them whether they have liked the Page or not. However, you can place certain age and geographical restrictions on your Page.
To learn more about Page visibility, check out our Help Center:
If you want to make your Page completely private, I'd suggest you create a group instead. Pages allow real organizations, businesses, celebrities and brands to communicate broadly with people who like them. Groups provide a space for people to communicate about shared interests and allows for more Privacy options.
For more information about the differences between groups and Pages check out this Help Center Article: