Limit automatic caching to npm, update workflows and documentation (#1374)

* default to auto-caching only for npm package manager and documentation update

* refactor: enhance package manager detection for auto-caching

* add devEngines.packageManager detection logic for npm auto-caching

* chore: bump version to 6.0.0 and update documentation

* docs: update README and action.yml for npm caching logic clarification

* chore: update Node.js version in workflows

* chore: update Node.js versions in versions.yml

* chore: update rc Node.js version in versions.yml

* chore: switch macos-13 runner to macos-latest-large in workflow

* docs: update README and advanced usage documentation

.github/workflows/release-new-action-version.yml

@@ -22,7 +22,7 @@ jobs:
     runs-on: ubuntu-latest
     steps:
       - name: Update the ${{ env.TAG_NAME }} tag
-        uses: actions/publish-action@v0.3.0
+        uses: actions/publish-action@v0.4.0
         with:
           source-tag: ${{ env.TAG_NAME }}
           slack-webhook: ${{ secrets.SLACK_WEBHOOK }}