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Supreme Court, Court

Capitalize all forms of the U.S. Supreme Court:
            U.S. Supreme Court
            Supreme Court, the Court

For other courts capitalize only when exact and full name is given:
            Supreme Court of Pennsylvania
            Pennsylvania's supreme court, the court
            the U.S. District Court for the District of Arizona
            the U.S. District Court for Arizona
            the district court, the court
            Supreme Court of Maryland, Maryland's supreme court, the court
            Court of Appeals for the Tenth Circuit, the circuit court, the court
            the Court of St. James's, the court