RN: Move {packages => private}/react-native-bots (#51932)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/51932

Moves `packages/react-native-bots` to `private/react-native-bots`.

Changelog:
[Internal]

Reviewed By: huntie

Differential Revision: D76354266

fbshipit-source-id: 6ca714c8b0c881b073d84a2f033f78d366ed3f24

.github/workflow-scripts/analyze_code.sh

@@ -16,7 +16,7 @@ export GITHUB_REPO=-react-native
 
   echo google-java-format
   node scripts/lint-java.js --diff
-} | node packages/react-native-bots/code-analysis-bot.js
+} | node private/react-native-bots/code-analysis-bot.js
 
 STATUS=$?
 if [ $STATUS == 0 ]; then

.github/workflows/danger-pr.yml

@@ -24,6 +24,6 @@ jobs:
         uses: ./.github/actions/yarn-install
       - name: Danger
         run: yarn danger ci --use-github-checks --failOnErrors
-        working-directory: packages/react-native-bots
+        working-directory: private/react-native-bots
         env:
           DANGER_GITHUB_API_TOKEN: ${{ secrets.REACT_NATIVE_BOT_GITHUB_TOKEN }}