Fix: Publish types folder (#34727)

Summary:
From changes in #34614, I forgot to actually export the types directory.

## Changelog

<!-- Help reviewers and the release process by writing your own changelog entry. For an example, see:
https://reactnative.dev/contributing/changelogs-in-pull-requests
-->

[Internal] - Add types directory as part of the npm package

Pull Request resolved: #34727

Test Plan: Verified on [`build_npm_package_1`](https://app.circleci.com/pipelines/github/facebook/react-native/15799/workflows/4fd57bfc-0142-49d9-a1a6-83fa43f0e371/jobs/295438) job where we create the commitly, that `types` folder is included and `__typetests__` are ignored

Reviewed By: cipolleschi

Differential Revision: D39646310

Pulled By: lunaleaps

fbshipit-source-id: 361f7925fa1cdc30d0865d291933c7fce9e0fa49

package.json

@@ -67,7 +67,8 @@
     "!template/node_modules",
     "!template/package-lock.json",
     "!template/yarn.lock",
-    "third-party-podspecs"
+    "third-party-podspecs",
+    "types"
   ],
   "scripts": {
     "start": "react-native start",

types/.npmignore

@@ -0,0 +1 @@
+__typetests__