ci: use registry cache

Reorder steps based on logical flow

.github/workflows/docker.yml

@@ -33,12 +33,6 @@ jobs:
       - name: Checkout code
         uses: actions/checkout@v4
 
-      - name: Extract image name from Dockerfile
-        id: image_name
-        run: |
-          IMAGE=$(grep "LABEL org.opencontainers.image.title" Dockerfile | cut -d'"' -f2)
-          echo "IMAGE=$IMAGE" >> $GITHUB_OUTPUT
-
       - name: Set password by container registry
         run: |
           case "${{ env.REGISTRY_URL }}" in
@@ -55,6 +49,20 @@ jobs:
               ;;
           esac
 
+      - name: Log into container registry
+        if: github.event_name != 'pull_request'
+        uses: docker/login-action@v3
+        with:
+          registry: ${{ env.REGISTRY_URL }}
+          username: ${{ env.REGISTRY_USER }}
+          password: ${{ env.REGISTRY_PASS }}
+
+      - name: Extract image name from Dockerfile
+        id: image_name
+        run: |
+          IMAGE=$(grep "LABEL org.opencontainers.image.title" Dockerfile | cut -d'"' -f2)
+          echo "IMAGE=$IMAGE" >> $GITHUB_OUTPUT
+
       - name: Docker meta
         id: meta
         uses: docker/metadata-action@v5
@@ -71,28 +79,12 @@ jobs:
             type=sha
             type=raw,value=latest,enable={{is_default_branch}}
 
-      - name: Set up QEMU
+      - name: Setup QEMU
         uses: docker/setup-qemu-action@v3
 
-      - name: Set up Docker Buildx
+      - name: Setup Docker Buildx
         uses: docker/setup-buildx-action@v3
 
-      - name: Login to container registry
-        if: github.event_name != 'pull_request'
-        uses: docker/login-action@v3
-        with:
-          registry: ${{ env.REGISTRY_URL }}
-          username: ${{ env.REGISTRY_USER }}
-          password: ${{ env.REGISTRY_PASS }}
-
-      - name: Set up Docker Buildx cache
-        uses: actions/cache@v4
-        with:
-          path: /tmp/.buildx-cache
-          key: ${{ runner.os }}-buildx-${{ github.sha }}
-          restore-keys: |
-            ${{ runner.os }}-buildx-
-
       - name: Build and push
         uses: docker/build-push-action@v6
         with:
@@ -101,5 +93,5 @@ jobs:
           push: ${{ github.event_name != 'pull_request' }}
           tags: ${{ steps.meta.outputs.tags }}
           labels: ${{ steps.meta.outputs.labels }}
-          cache-from: type=gha
-          cache-to: type=gha,mode=max
+          cache-from: type=registry,ref=${{ env.REGISTRY_URL }}/${{ env.REGISTRY_USER }}/${{ steps.image_name.outputs.IMAGE }}:buildcache
+          cache-to: type=registry,ref=${{ env.REGISTRY_URL }}/${{ env.REGISTRY_USER }}/${{ steps.image_name.outputs.IMAGE }}:buildcache,mode=max