The state’s highest court dealt a financial blow on Thursday morning to the already beleaguered owners of the sprawling Stuyvesant Town and Peter Cooper Village complexes in Manhattan when it ruled that they improperly began charging market rents on thousands of apartments. The ruling by the Court of Appeals may mean that the current owner, a partnership of Tishman Speyer Properties and BlackRock Realty, and the former owner, Metropolitan Life, may have to pay an estimated $200 million in rent overcharges and damages to tenants of about 4,000 apartments. In a majority ruling (two of the six judges dissented), the...