def METHOD_NAME(n: int, flow_id: str | None = None) -> dict[str, t.Any]:
    run_id = str(uuid.UUID(int=n))
    base_time = datetime.datetime.fromisoformat("2021-10-18T19:19:35.967289+00:00")
    start_time = base_time + datetime.timedelta(days=n)
    completion_time = base_time + datetime.timedelta(days=n + 1)
    run_doc = copy.deepcopy(RUN)
    run_doc["completion_time"] = completion_time.isoformat()
    run_doc["label"] = f"Run {n}"
    run_doc["start_time"] = start_time.isoformat()
    run_doc["run_id"] = run_id
    run_doc["action_id"] = run_id
    if flow_id is not None:
        run_doc["flow_id"] = flow_id
    return run_doc