extend setup-node with proper yarn 3 caching

ref. actions/setup-node#488

action.yml

@@ -1,11 +1,55 @@
-name: 'Your name here'
-description: 'Provide a description here'
-author: 'Your name or organization here'
+name: 'Setup Node.js and Yarn'
 inputs:
-  milliseconds: # change this
-    required: true
-    description: 'input description here'
-    default: 'default value if applicable'
+  always-auth:
+    description: 'Set always-auth in npmrc.'
+    default: 'false'
+  node-version:
+    description: 'Version Spec of the version to use. Examples: 12.x, 10.15.1, >=10.15.0.'
+  node-version-file:
+    description: 'File containing the version Spec of the version to use.  Examples: .nvmrc, .node-version, .tool-versions.'
+  architecture:
+    description: 'Target architecture for Node to use. Examples: x86, x64. Will use system architecture by default.'
+  check-latest:
+    description: 'Set this option if you want the action to check for the latest available version that satisfies the version spec.'
+    default: false
+  registry-url:
+    description: 'Optional registry to set up for auth. Will set the registry in a project level .npmrc and .yarnrc file, and set up auth to read in from env.NODE_AUTH_TOKEN.'
+  scope:
+    description: 'Optional scope for authenticating against scoped registries. Will fall back to the repository owner when using the GitHub Packages registry (https://npm.pkg.github.com/).'
+  token:
+    description: Used to pull node distributions from node-versions. Since there's a default, this is typically not supplied by the user. When running this action on github.com, the default value is sufficient. When running on GHES, you can pass a personal access token for github.com if you are experiencing rate limiting.
+    default: ${{ github.server_url == 'https://github.com' && github.token || '' }}
+  working-directory:
+    description: 'The working directory to run the action in.'
+    default: '.'
+outputs:
+  cache-hit:
+    description: 'A boolean value to indicate if a cache was hit.'
+  node-version:
+    description: 'The installed node version.'
 runs:
   using: 'node16'
-  main: 'dist/index.js'
+  steps:
+    - uses: actions/setup-node@v3
+      with:
+        node-version: ${{inputs.node-version}}
+        node-version-file: ${{inputs.node-version-file}}
+        check-latest: ${{inputs.check-latest}}
+        architecture: ${{inputs.architecture}}
+        always-auth: ${{inputs.always-auth}}
+        registry-url: ${{inputs.registry-url}}
+        scope: ${{inputs.scope}}
+        token: ${{inputs.token}}
+
+    - name: Get yarn cache directory path
+      id: yarn-cache-dir-path
+      run: echo "dir=$(yarn config get cacheFolder)" >> $GITHUB_OUTPUT
+      shell: bash
+      working-directory: ${{inputs.working-directory}}
+
+    - name: Restore yarn cache
+      uses: actions/cache@v3
+      with:
+        path: ${{ steps.yarn-cache-dir-path.outputs.dir }}
+        key: yarn-cache-folder-${{ hashFiles('**/yarn.lock', '.yarnrc.yml') }}
+        restore-keys: yarn-cache-folder-