ci: only satisfy pre-checks once merge requested (#8275)

Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>

.github/workflows/mergify-ready.yml

@@ -20,6 +20,7 @@ jobs:
 
   wait-integration-pre-checks:
     needs: pre_check
+    if: needs.pre_check.outputs.merge_requested == 'true'
     runs-on: ubuntu-latest
     steps:
       - name: wait
@@ -28,7 +29,7 @@ jobs:
           cat <<EOF
             needs ${{ toJSON(needs.pre_check.outputs) }}
           EOF
-          sleep 5
+          sleep 15
 
   merge-strategy:
     runs-on: ubuntu-latest

.github/workflows/pre-check-integration.yml

@@ -6,6 +6,25 @@ on:
       should_run:
         description: "'true' if the test should run"
         value: "${{ jobs.check_and_cancel.outcome != 'skipped' && jobs.check_and_cancel.outputs.should_skip != 'true' }}"
+      merge_requested:
+        description: "'true' if pull_request was requested for merge"
+        value: >-
+          ${{
+            github.event_name != 'pull_request' || (
+              (
+                github.event.pull_request.base.ref == 'master' ||
+                github.event.pull_request.base.ref == 'release-pismo' ||
+                github.event.pull_request.base.ref == 'beta'
+              ) &&
+              github.event.pull_request.draft == false &&
+              (
+                contains(github.event.pull_request.labels.*.name, 'automerge:squash') || 
+                contains(github.event.pull_request.labels.*.name, 'automerge:no-update') ||
+                contains(github.event.pull_request.labels.*.name, 'automerge:rebase') ||
+                github.event.pull_request.auto_merge != null
+              )
+            )
+          }}
 
 jobs:
   check_and_cancel: