[13.0.0] Remove references to public_group, open_group, closed_group, and secret_group for social_search module

https://github.com/goalgorilla/open_social/pull/3767

PR was approved and merged.
Should be released in OS 13.0.0

Part of 13.0.0 (alpha1)

Automatically closed - issue fixed for 2 weeks with no activity.