Fix build-test-artifacts test trigger (#1918)

Author: jefchien

.github/workflows/build-test-artifacts.yml

@@ -122,7 +122,7 @@ jobs:
       Bucket: ${{ vars.S3_INTEGRATION_BUCKET_CN }}
 
   StartIntegrationTests:
-    needs: [ BuildAndUploadPackages, BuildAndUploadITAR, BuildAndUploadCN, BuildDocker ]
+    needs: [ BuildAndUploadPackages, BuildAndUploadITAR, BuildAndUploadCN, BuildDocker, BuildDistributor ]
     if: ${{ github.event_name == 'push' || inputs.test-image-before-upload }}
     runs-on: ubuntu-latest
     steps:
@@ -131,7 +131,7 @@ jobs:
           GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
 
   StartApplicationSignalsE2ETests:
-    needs: [ BuildAndUploadPackages, BuildAndUploadITAR, BuildAndUploadCN, BuildDocker ]
+    needs: [ BuildAndUploadPackages, BuildAndUploadITAR, BuildAndUploadCN, BuildDocker, BuildDistributor ]
     # Workflow only runs against main
     if: ${{ github.event_name == 'push' || inputs.test-image-before-upload }}
     runs-on: ubuntu-latest