diff --git a/.github/workflows/fleet-status.yml b/.github/workflows/fleet-status.yml
index f915854..fc6908d 100644
--- a/.github/workflows/fleet-status.yml
+++ b/.github/workflows/fleet-status.yml
@@ -58,10 +58,11 @@ jobs:
       (github.event_name != 'issue_comment' && github.event_name != 'workflow_run' &&
        github.event.pull_request.head.repo.full_name == github.repository)
     # On our runner for every event, a fork's included: the job runs the pinned fleet-status action
-    # and never PR code (see above), so GitHub's hosted queue going down does not hold the
-    # fleet/verify and fleet/review statuses a merge waits on.
-    # A fork repository has no cordon-exec runners, so there it runs on GitHub's.
-    runs-on: ${{ github.repository == 'askalf/cordon' && fromJSON('["self-hosted","cordon-exec"]') || 'ubuntu-latest' }}
+    # and never PR code (see above), so GitHub's hosted queue going down does not hold the fleet/verify
+    # and fleet/review statuses a merge waits on. The runner is this repository's fleet status row
+    # (label fleet-status), a read-tier row: this few-second job holds no exec cap slot that a test
+    # job waits for. A fork repository has no fleet-status runners, so there it runs on GitHub's.
+    runs-on: ${{ github.repository == 'askalf/cordon' && fromJSON('["self-hosted","fleet-status"]') || 'ubuntu-latest' }}
     timeout-minutes: 5
     permissions:
       contents: read