WIP [RN][JS Stable API] Verify built types in Github CI (#51808)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/51808

Pull Request resolved: https://github.com/facebook/react-native/pull/50292

## This diff
Generates types via `yarn build-types` and verifies them on the basis of react-native/types/__typetests.

Changelog: [Internal]

Reviewed By: robhogan

Differential Revision: D71902007

fbshipit-source-id: 43cb2321e9feea11b0caa4362140c86b1847db85