Anyone is entitled to keep appealing a case until they hit the Supreme Court. The Supreme Court only hears the case if it contains issues they find interesting

Anyone is entitled to keep appealing a case until they hit the Supreme Court. The Supreme Court only hears the case if it contains issues they find interesting or worthy of exploration. There was a famous case where a guy appealed a parking ticket all the way: the court declined to hear the case, but did write a per curiam scolding him for wasting their time. Here, the underlying claim was paper-thin and apparently fake, but the appeals present interesting legal issues.