Replace getTypes functions with parser specific methods (#36225)

Summary:
This PR is task 74 from https://github.com/facebook/react-native/issues/34872:
> Move getTypes functions from utils.js to specific Parsers. Right now we have two Parser classes that takes care of the language specific details and two utils files that contains similar logic. We would like to move everything under the Parsers classes for better OOP architecture and to encourage code-reuse.

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[Internal] [Changed] - Replace getTypes functions with parser specific methods

Pull Request resolved: https://github.com/facebook/react-native/pull/36225

Test Plan: I tested using Jest and Flow commands.

Reviewed By: rshest

Differential Revision: D43453454

Pulled By: cipolleschi

fbshipit-source-id: 0eebcb55e1af3319e2c35bb462980046329a2c09