Update Azure upload credentials (#8745)

Author: pdabelf5

.github/workflows/release.yml

@@ -612,12 +612,12 @@ jobs:
           path: ${{ github.workspace }}/tarballs
           fail-on-cache-miss: true
 
-      - name: Azure login
+      - name: Azure login for secrets
         uses: azure/login@a457da9ea143d694b1b9c7c869ebb04ebe844ef5 # v2.3.0
         with:
-          client-id: ${{ secrets.AZURE_CLIENT_ID }}
-          tenant-id: ${{ secrets.AZURE_TENANT_ID }}
-          subscription-id: ${{ secrets.AZURE_SUBSCRIPTION_ID }}
+          client-id: ${{ secrets.AZURE_VAULT_CLIENT_ID }}
+          tenant-id: ${{ secrets.AZURE_VAULT_TENANT_ID }}
+          subscription-id: ${{ secrets.AZURE_VAULT_SUBSCRIPTION_ID }}
 
       - name: Setup secrets
         id: secrets
@@ -632,6 +632,13 @@ jobs:
           echo "::add-mask::$AZURE_BUCKET_NAME"
           echo "AZURE_BUCKET_NAME=$AZURE_BUCKET_NAME" >> $GITHUB_OUTPUT
 
+      - name: Azure login for upload
+        uses: azure/login@a457da9ea143d694b1b9c7c869ebb04ebe844ef5 # v2.3.0
+        with:
+          client-id: ${{ secrets.AZURE_CLIENT_ID }}
+          tenant-id: ${{ secrets.AZURE_TENANT_ID }}
+          subscription-id: ${{ secrets.AZURE_SUBSCRIPTION_ID }}
+
       - name: Azure Upload Release Packages
         uses: azure/CLI@9f7ce6f37c31b777ec6c6b6d1dfe7db79f497956 # v2.2.0
         with: