Docker publish workflow: Login and push to dockerhub as well

.github/workflows/docker-publish.yml

@@ -8,7 +8,7 @@ on:
   workflow_dispatch:
 
 env:
-  REGISTRY: ghcr.io
+  GHCR_REGISTRY: ghcr.io
   IMAGE_NAME: ${{ github.repository }}
 
 jobs:
@@ -22,18 +22,26 @@ jobs:
       - name: Checkout repository
         uses: actions/checkout@v4
 
-      - name: Log in to the Container registry
+      - name: Log in to the ghcr container registry
         uses: docker/login-action@v3
         with:
-          registry: ${{ env.REGISTRY }}
+          registry: ${{ env.GHCR_REGISTRY }}
           username: ${{ github.actor }}
           password: ${{ secrets.GITHUB_TOKEN }}
 
+      - name: Log in to the dockerhub container registry
+        uses: docker/login-action@v3
+        with:
+          username: ${{ vars.DOCKERHUB_ORGNAME }}
+          password: ${{ secrets.DOCKERHUB_TOKEN }}
+
       - name: Extract metadata for Docker build
         id: meta
         uses: docker/metadata-action@v5
         with:
-          images: ${{ env.REGISTRY }}/${{ env.IMAGE_NAME }}
+          images: |
+            name=${{ env.GHCR_REGISTRY }}/${{ env.IMAGE_NAME }}
+            name=${{ env.IMAGE_NAME }}
           flavor: latest=true
           tags: |
             type=semver,pattern={{version}}