def METHOD_NAME(
    self, workspace_id: str, log_group_arn: str
) -> Dict[str, str]:
    ws = self.describe_workspace(workspace_id)
    ws.logging_config["logGroupArn"] = log_group_arn  # type: ignore[index]
    ws.logging_config["modifiedAt"] = unix_time()  # type: ignore[index]
    return ws.logging_config["status"]  # type: ignore[index]