From which court would an appeal go directly to the US Supreme Court would it be Claims Court, District Court international trade court or state Supreme Court?

An appeal would go directly to the US Supreme Court from the US Court of Appeals for the Federal Circuit, which is a specialized court that hears appeals in certain types of cases, including those involving patents, international trade, government contracts, and other specialized areas of law. The US Supreme Court has jurisdiction to review appeals from the Federal Circuit in certain circumstances.