[conductor] update console link (#118338)

* update console link

* update test to include new console link
diff --git a/dev/conductor/core/lib/src/state.dart b/dev/conductor/core/lib/src/state.dart
index 729e024..c4bf2a8 100644
--- a/dev/conductor/core/lib/src/state.dart
+++ b/dev/conductor/core/lib/src/state.dart
@@ -45,6 +45,9 @@
   );
   final String consoleName =
       channel == 'master' ? groupName : '${channel}_$groupName';
+  if (groupName == 'packaging') {
+    return 'https://luci-milo.appspot.com/p/dart-internal/g/flutter_packaging/console';
+  }
   return 'https://ci.chromium.org/p/flutter/g/$consoleName/console';
 }
 
diff --git a/dev/conductor/core/test/next_test.dart b/dev/conductor/core/test/next_test.dart
index ce71835..29417b3 100644
--- a/dev/conductor/core/test/next_test.dart
+++ b/dev/conductor/core/test/next_test.dart
@@ -990,7 +990,8 @@
         );
         expect(
           stdio.stdout,
-          contains('Release archive packages must be verified on cloud storage: https://ci.chromium.org/p/flutter/g/beta_packaging/console'),
+          contains(
+              'Release archive packages must be verified on cloud storage: https://luci-milo.appspot.com/p/dart-internal/g/flutter_packaging/console'),
         );
         expect(finalState.currentPhase, ReleasePhase.VERIFY_RELEASE);
       });