Try using label with dedicated prefix as trigger

.github/workflows/integration.yml

@@ -10,9 +10,7 @@ on:
       - requested
   pull_request:
     types:
-    # it probably makes more sense to use the review requested feature on one of the bot accounts
-      # - labeled
-      - review_requested
+      - labeled
 
 defaults:
   run:
@@ -24,8 +22,7 @@ jobs:
     # NOTE: the name of the special label is hardcoded here
     # it would be better to extract it to a more global location, e.g. the workflow-level env context,
     # but the env context is not available in job-level if expressions (only step-level ones)
-    # if: (github.event.name != 'pull_request') || contains(github.event.label.name, 'approved')
-    if: (github.event.action != 'review_requested') || (github.event.requested_reviewer.login == 'idaes-debug')
+    if: (github.event.action != 'labeled') || (github.event.label.name == 'CI:run-integration')
     runs-on: ubuntu-latest
     steps:
       - name: Notify