Added conditional run of the "update" step

docker-build-push/action.yml

@@ -81,6 +81,7 @@ runs:
       shell: bash
       run: ${{ gitea.action_path }}/push.sh
     - name: Update remote Docker host
+      if: ${{ inputs.update_remote == 'true' }}
       shell: bash
       run: ${{ gitea.action_path }}/update.sh