TNT has canceled drama series “Hawthorne,” the network announced Friday.The medical drama will end its run after three seasons. Last episode aired Aug. 16. The network issued a statement wishing everyone well involved in the production. “TNT truly appreciates the tremendous dedication of everyone involved in ‘Hawthorne.’ The series gave TNT the opportunity to work with many outstanding people, including Jada Pinkett Smith and the rest of the show’s talented cast, crew, producers and writers. TNT also canceled another drama few months ago, “Men of a Certain Age,” but has a robust roster of scripts in development for new hours.