Also update test-flaky

.github/workflows/integration.yml

@@ -250,12 +250,19 @@ jobs:
       DD_SERVICE: ${{ github.event.repository.name }}
 
     steps:
-      - name: Check out the repository
-        if: github.event_name != 'pull_request_target'
+      - name: Check out the repository (push)
+        if: github.event_name == 'push'
         uses: actions/checkout@v3
         with:
           persist-credentials: false
 
+      - name: Check out the repository (workflow_dispatch)
+        if: github.event_name == 'workflow_dispatch'
+        uses: actions/checkout@v4
+        with:
+          persist-credentials: false
+          ref: ${{ inputs.adapter_branch }}
+
       # explicitly checkout the branch for the PR,
       # this is necessary for the `pull_request_target` event
       - name: Check out the repository (PR)