ci: add mergify rule for deployment integ tests (#35694)

### Description of changes

This blocks the merge of PR's if they request a deployment integ workflow test and it fails. PR's can request a deployment integ test via the label `request-deployment-integ-run`

### Describe any new or updated permissions being added

No new permissions added.

### Checklist
- [x] My code adheres to the [CONTRIBUTING GUIDE](https://github.com/aws/aws-cdk/blob/main/CONTRIBUTING.md) and [DESIGN GUIDELINES](https://github.com/aws/aws-cdk/blob/main/docs/DESIGN_GUIDELINES.md)

----

*By submitting this pull request, I confirm that my contribution is made under the terms of the Apache-2.0 license*

Author: Abogical

.mergify.yml

@@ -21,6 +21,9 @@ queue_rules:
       - "#changes-requested-reviews-by=0"
       - check-success=validate-pr
       - check-success=build
+      - or:
+        - "label~=pr/needs-integration-tests-deployment"
+        - "check-success=integration_test_deployment"
     commit_message_template: |-
       {{ title }} (#{{ number }})
       {{ body }}
@@ -43,6 +46,9 @@ queue_rules:
       - "#changes-requested-reviews-by=0"
       - check-success=validate-pr
       - check-success=build
+      - or:
+        - "label~=pr/needs-integration-tests-deployment"
+        - "check-success=integration_test_deployment"
     commit_message_template: |-
       {{ title }} (#{{ number }})
       {{ body }}
@@ -64,6 +70,9 @@ queue_rules:
       - "#changes-requested-reviews-by=0"
       - check-success=validate-pr
       - check-success=build
+      - or:
+        - "label~=pr/needs-integration-tests-deployment"
+        - "check-success=integration_test_deployment"
     commit_message_template: |-
       {{ title }} (#{{ number }})
       {{ body }}
@@ -96,6 +105,9 @@ pull_request_rules:
       - "#changes-requested-reviews-by=0"
       - check-success=validate-pr
       - check-success=build
+      - or:
+        - "label~=pr/needs-integration-tests-deployment"
+        - "check-success=integration_test_deployment"
   - name: automatic priority merge
     actions:
       comment:
@@ -117,6 +129,9 @@ pull_request_rules:
       - "#changes-requested-reviews-by=0"
       - check-success=validate-pr
       - check-success=build
+      - or:
+        - "label~=pr/needs-integration-tests-deployment"
+        - "check-success=integration_test_deployment"
   - name: automatic merge (2+ approvers)
     actions:
       comment:
@@ -138,6 +153,9 @@ pull_request_rules:
       - "#changes-requested-reviews-by=0"
       - check-success=validate-pr
       - check-success=build
+      - or:
+        - "label~=pr/needs-integration-tests-deployment"
+        - "check-success=integration_test_deployment"
   - name: automatic merge (no-squash)
     actions:
       comment:
@@ -159,6 +177,9 @@ pull_request_rules:
       - "#changes-requested-reviews-by=0"
       - check-success=validate-pr
       - check-success=build
+      - or:
+        - "label~=pr/needs-integration-tests-deployment"
+        - "check-success=integration_test_deployment"
   - name: remove stale reviews
     actions:
       dismiss_reviews:
@@ -199,6 +220,9 @@ pull_request_rules:
       - "#changes-requested-reviews-by=0"
       - check-success=validate-pr
       - check-success=build
+      - or:
+        - "label~=pr/needs-integration-tests-deployment"
+        - "check-success=integration_test_deployment"
 priority_rules:
   - name: priority for queue `default-merge`
     conditions: