The answer to the question: What is the full name of the person who had CIA radio broadcasts run propaganda against Nagy? is inside the article: Although John Foster Dulles, the United States Secretary of State recommended on 24 October for the United Nations Security Council to convene to discuss the situation in Hungary, little immediate action was taken to introduce a resolution, in part because other world events unfolded the day after the peaceful interlude started, when allied collusion started the Suez Crisis. The problem was not that Suez distracted U.S. attention from Hungary but that it made the condemnation of Soviet actions very difficult. As Vice President Richard Nixon later explained, "We couldn't on one hand, complain about the Soviets intervening in Hungary and, on the other hand, approve of the British and the French picking that particular time to intervene against [Gamel Abdel] Nasser".The United States response was reliant on the CIA to covertly effect change, with both covert agents and Radio Free Europe. However, their Hungarian operations collapsed rapidly and they could not locate any of the weapon caches hidden across Europe, nor be sure to whom they'd send arms. The agency's main source of information were the newspapers and a State Department employee in Budapest called Geza Katona. By 28 October, on the same night that the new Nagy government came to power, RFE was ramping up its broadcasts—encouraging armed struggle, advising on how to combat tanks and signing off with "Freedom or Death!"—on the orders of Frank Wisner. When Nagy did come to power, CIA director Allen Dulles advised the White House that Cardinal Mindszenty would be a better leader (due to Nagy's communist past); he had CIA radio broadcasts run propaganda against Nagy, calling him a traitor who'd invited Soviet troops in. Transmissions continued to broadcast armed response while the CIA mistakenly believed that the Hungarian army was switching sides and the rebels were gaining arms. (Wisner was recorded as having a "nervous breakdown" by William Colby as the uprising was crushed.), can you guess it ?
The answer to this question is:
Allen Dulles