The executive director of Arkansas’s largest airport died on Thursday after being wounded in a shootout this week with federal agents who were executing a search warrant at his home, the authorities said.According to the authorities, Bryan Malinowski, 53, the director of the Bill and Hillary Clinton National Airport in Little Rock, shot at agents with the Bureau of Alcohol, Tobacco, Firearms and Explosives, who then returned fire as they tried to carry out the search warrant on Tuesday.One A.T.F. agent suffered a gunshot wound that was not life-threatening, the authorities said.In a…