Add installing flutter step before publish step

.github/workflows/publish.yml

@@ -10,4 +10,15 @@ jobs:
   publish:
     permissions:
       id-token: write # Required for authentication using OIDC
-    uses: dart-lang/setup-dart/.github/workflows/publish.yml@v1
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v2
+      - name: Install Flutter
+        uses: subosito/flutter-action@v2
+        with:
+          flutter-version: '3.22.2'
+      - name: Install dependencies
+        run: flutter pub get
+      - name: Analyze
+        run: flutter analyze
+      - uses: dart-lang/setup-dart/.github/workflows/publish.yml@v1