Summary:
There were some headers that were in the `public` or `private` section instead of `project` this causes headers to be included in archives and prevent it from being able to be uploaded to the app store. This fixes it by using only `project` headers and copy files like we use in other places.
Also fixes a file that was moved and not updated in ReactCxx.xcodeproj.
**Test plan**
Tested that I am now able to upload an archive on the app store.
Closes https://github.com/facebook/react-native/pull/13008
Differential Revision: D4779894
Pulled By: javache
fbshipit-source-id: 6e36e925cc3fc03c095c9f1872eb5a45b7f0d78c
ec5baf02bd