firebase-tools: EvaluationException when using crosss-service security rule with Emulator

[REQUIRED] Environment info

firebase-tools: 11.16.1

Platform: Windows

[REQUIRED] Test case

Use cross-service security rule (i.e. firestore.get()) in storage.rules:

rules_version = '2';
service firebase.storage {
  match /b/{bucket}/o {
    match /courses/{courseId}/files/{fileName} {
      allow get: if firestore.get(/databases/(default)/documents/courses/$(courseId)).data.users[request.auth.uid].exists;
    }
  }
}

Add the following document to Emulator’s Firestore at courses/course1:

{
  users: {
    user1: { exists: true }
  }
}

[REQUIRED] Steps to reproduce

Download file from storage using the JavaScript client SDK:

    const storage = getStorage();
    const fileRef = ref(storage, 'courses/4VnY71FQeT6XDAGNDjSSX/files/foo.txt');
    const url = await getDownloadURL(fileRef);
    const response = await fetch(url);

[REQUIRED] Expected behavior

Based on this announcement: https://firebase.blog/posts/2022/09/announcing-cross-service-security-rules, I expected cross-service security rules to be supported automatically for firebase-tools@11.10.0 and above.

[REQUIRED] Actual behavior

firestore.get() inside the storage rules results in this exception, so the security rule never allows the request:

  com.google.firebase.rules.runtime.common.EvaluationException: Error: C:\Users\...\storage.rules line [5], column [31]. Service call error. Function: [firestore.get], Argument: [path_value {
  segments {
    simple: "databases"
  }
  segments {
    simple: "(default)"
  }
  segments {
    simple: "documents"
  }
  segments {
    simple: "courses"
  }
  segments {
    simple: "4VnY71FQeT6XDAGNDjSSX"
  }
}
].