Tag Private ECR images in release workflow (#720)

*Issue #, if available:*

*Description of changes:*
Add tagging to the per-arch images in private ECR as needed by ARS.

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Author: ezhang6811

.github/workflows/release-build.yml

@@ -156,26 +156,35 @@ jobs:
           verbose: true
           packages-dir: dist-pypi
 
-      # Publish to public ECR
-      - name: Build and push public ECR image
+      - name: Build and push amd64 image to private ECR
         uses: docker/build-push-action@263435318d21b8e681c14492fe198d362a7d2c83 #v6.18.0
         with:
           push: true
           context: .
           file: ./Dockerfile
-          platforms: linux/amd64,linux/arm64
+          platforms: linux/amd64
           tags: |
-            ${{ env.RELEASE_PUBLIC_REPOSITORY }}:v${{ env.VERSION }}
+            ${{ env.RELEASE_PRIVATE_REPOSITORY }}:v${{ env.VERSION }}-amd64
+
+      - name: Build and push arm64 image to private ECR
+        uses: docker/build-push-action@263435318d21b8e681c14492fe198d362a7d2c83 #v6.18.0
+        with:
+          push: true
+          context: .
+          file: ./Dockerfile
+          platforms: linux/arm64
+          tags: |
+            ${{ env.RELEASE_PRIVATE_REPOSITORY }}:v${{ env.VERSION }}-arm64
 
-      # Publish to private ECR
-      - name: Build and push private ECR image
+      - name: Build and push multi-arch image
         uses: docker/build-push-action@263435318d21b8e681c14492fe198d362a7d2c83 #v6.18.0
         with:
           push: true
           context: .
           file: ./Dockerfile
           platforms: linux/amd64,linux/arm64
           tags: |
+            ${{ env.RELEASE_PUBLIC_REPOSITORY }}:v${{ env.VERSION }}
             ${{ env.RELEASE_PRIVATE_REPOSITORY }}:v${{ env.VERSION }}
   
   publish-layer-prod: