Back out "(Redo PR #51264) Remove native animation fabric sync in JS and infinite animation loop workaround" (#51933)

Summary:
## Changelog:
[General] [Changed] - Revert a previous change that caused UI regression

Pull Request resolved: https://github.com/facebook/react-native/pull/51933

Reverting for the same reason as D75108344.

Original commit changeset: 966e2b187f43

Original Phabricator Diff: D75789100

Reviewed By: zijunl

Differential Revision: D76352826

fbshipit-source-id: bfae95e2fe66b19b9d615eb5290c0ca5964088e3