Fixes for scheduled e2e (#5532)

* fix(actions): Disable deployment only if e2e fails on next or prod

* fix(actions): Disable all affected release workflows on e2e failure

.github/workflows/scheduled_e2e.yml

@@ -12,9 +12,9 @@ permissions:
   actions: write
 
 env:
+  GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
   OWNER: ${{ github.repository_owner }}
   REPO: ${{ github.event.repository.name }}
-  GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
 
 jobs:
   test_web:
@@ -49,7 +49,8 @@ jobs:
 
   release_decision:
     name: Release Decision
-    if: always()
+    # TODO: Remove the conditional for next when we fully switch to main/prod branching model
+    if: github.ref_name == 'next' || github.ref_name == 'prod' || github.ref_name == 'main'
     runs-on: ubuntu-latest
     needs:
       - test_widget
@@ -64,9 +65,13 @@ jobs:
           widget_status=$(echo "$needs_json" | jq -r '.test_widget.result')
           api_status=$(echo "$needs_json" | jq -r '.test_unit_api.result')
           workflows_map=$(cat << EOF
+          prod-deploy-embed.yml: $widget_status
           prod-deploy-widget.yml: $widget_status
           prod-deploy-web.yml: $web_status
           prod-deploy-api.yml: $api_status
+          prod-deploy-webhook.yml: $api_status
+          prod-deploy-worker.yml: $api_status
+          prod-deploy-ws.yml: $api_status
           EOF
           )
           while IFS= read -r line; do