Update JDK version to 22 in GitHub Actions workflow

Changed the setup from JDK 21 to 22 in the publish.yml workflow file. Added caching for Gradle to improve build efficiency.

.github/workflows/publish.yml

@@ -13,11 +13,12 @@ jobs:
       packages: write
     steps:
     - uses: actions/checkout@v4
-    - name: Set up JDK 21
+    - name: Set up JDK 22
       uses: actions/setup-java@v4
       with:
-        java-version: '21'
+        java-version: '22'
         distribution: 'temurin'
+        cache: 'gradle'
 
     - name: Setup Gradle
       uses: gradle/actions/setup-gradle@af1da67850ed9a4cedd57bfd976089dd991e2582 # v4.0.0