use soon to be new workflow_conclusion as empty, rather than default to success

Author: jukent

.github/workflows/publish-site.yaml

@@ -41,8 +41,8 @@ jobs:
       build_command: 'make -j4 html'
       build_from_code_artifact: 'true'
       code_artifact_name: 'repo-zip'
-      trigger_workflow: publish-site.yaml
-
+      workflow: ''
+      workflow_conclusion: ''
   deploy:
     needs: build
     uses: ProjectPythia/cookbook-actions/.github/workflows/deploy-book.yaml@main