Remove code from public LayoutAnimationController class (#53784)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/53784

LayoutAnimation is part of legacy architecture, I'm deleting the code used from its non supported public APIs

changelog: [internal] internal

Reviewed By: shwanton

Differential Revision: D82235545

fbshipit-source-id: 9665c57b68eba9d958d3f8b9dd4224558cc8e9f6