Question:  The FAO Building, originally built under the Fascist government of Italy, overlooks the "thermae" that were in operation until when?

Context paragraphs:
Baths at Ostia: The Baths at Ostia, otherwise known as the Thermae Gavii Maximi, are named after the mayor/ city prefect Gavias Maximus, who was the city prefect for 20 years.  They were for public use in Ostia, Italy, and like many other Roman Thermae, created as a gift to the public and were therefore free.  They were built during the reign of Emperor Antonius Pius and Septimius Severus (193-225AD).  The Baths were in the city centre and were the largest and grandest of all Ostia baths.  Although very little remains today, archaeologists have found remains of arches which could be a connecting aqueduct which once provided the baths with water.  However, it is also possible that the baths were run by a slave-driven wheel.

Baths of Caracalla: The Baths of Caracalla (Italian: "Terme di Caracalla" ) in Rome, Italy, were the city's second largest Roman public baths, or "thermae", likely built between AD 212 (or 211) and 216/217, during the reigns of emperors Septimius Severus and Caracalla.  They were in operation until the 530s and then fell into disuse and ruin.

10th Venice International Film Festival (1942): The "10th" annual (void) Venice International Film Festival was held from 30 August to 5 September 1942.  Together with the 1940 and 1941 it is 'considered void- as if they did not happen'.  The events were hosted at places far away from the Lido and very few countries participated due to World War II and directors that were members of the Rome-Berlin axis.  Additionally, a strong fascist political meddling from the Italian fascist government under Benito Mussolini had led to Italy experiencing a period of cultural depression oppressed by fascist propaganda.

FAO Building, Rome: The FAO Building (Italian: "Palazzo FAO" , literally "FAO Palace") is the international headquarters of the Food and Agriculture Organization (FAO), located in the San Saba rione of Rome, Italy.  Originally built under the Fascist government of Italy in the 1930s to be the seat of the Ministry of Italian Africa, the building was repurposed after World War II to be the headquarters of the then-new United Nations' agricultural agency, the FAO.  The building is located the in one of the most scenic parts of Rome, southeast of the Aventine Hill, and overlooking the Baths of Caracalla and the Circus Maximus.

Grand Council of Fascism: The Grand Council of Fascism (Italian: "Gran Consiglio del Fascismo" ) was the main body of Mussolini's Fascist government in Italy.  A body which held and applied great power to control the institutions of government, it was created as a party body in 1923 and became a state body on 9 December 1928.  The council usually met at the Palazzo Venezia, Rome, which was also the seat of head of the Italian government.

9th Venice International Film Festival (1941): The "9th" annual (void) Venice International Film Festival was held from 30 August to 14 September 1941.  Together with the 1940 and 1942 it is 'considered void- as if they did not happen', as the events were carried out in places far away from the Lido, and very few countries participated due to World War II, with an absolute monopoly of institutions and directors that were members of the fascist Rome-Berlin axis.  Additionally, a strong fascist political meddling from the Italian fascist government under Benito Mussolini had led to Italy experiencing a period of cultural depression oppressed by fascist propaganda.

Monument to the Fallen, Riccia: The Monument to the Fallen (Italian: "Monumento ai Caduti" ) is located in Piazza Giacomo Sedati in the town of Riccia in the region of Molise, Italy.  The bronze sculpture, by Enzo Puchetti, was built after the First World War and inaugurated in August 1925.  The work, by a sculptor who created works for the fascist government, has a subtle irredentist message and depicts a local farmer from Riccia supporting a wounded warrior, while another youth below, in anticipation of future battles, asks for the fallen's laurel wreath.  The names of those fallen during the Second World War were added subsequently.

Nicola Chiaromonte: Nicola Chiaromonte (1905 in Rapolla, Potenza – 18 June 1972 in Rome) was an Italian activist and author.  In 1934 he fled Italy for France, after opposing Benito Mussolini's fascist government.  During the Spanish Civil War, he flew in André Malraux's squadron, fighting against fascist supported General Francisco Franco.  The character of Scali in Malraux's novel "Man's Hope" is based on Chiaromonte.  After moving to New York in 1941, he took on an important role in the leftist anti-Stalinist intellectual scene of the period, writing for "The Nation", "The New Republic", "politics" and "Partisan Review".  During the Cold War, he helped found, and served as editor, for the Italian journal "Tempo Presente", which was published by the Congress for Cultural Freedom (an organization with silent backing of the Central Intelligence Agency).  Mary McCarthy was a close friend during his time in US.  A foreword to the 1985 edition of Chiaramonte's book of essays "The Paradox of History" (1970) was written by Joseph Frank, a noted Dostoyevsky scholar.

World Summit on Food Security 2009: The World Summit on Food Security took place in Rome, Italy between 16 and 18 November 2009.  The decision to convene the summit was taken by the Council of the Food and Agriculture Organization of the United Nations (FAO) in June 2009, at the proposal of FAO Director-General Dr Jacques Diouf.  Sixty Heads of State and Government and 192 ministers, from 182 countries and the European Community, attended the summit, which took place at FAO's headquarters.

Fall of the Fascist regime in Italy: The Fall of the Fascist regime in Italy, also known in Italy as 25 Luglio ("Venticinque Luglio", ] ; Italian for "25 July") denotes the events in spring and summer 1943 in Italy, which culminated with the meeting of the Grand Council of Fascism on 24–25 July 1943, the passing of a vote of no confidence against Benito Mussolini, and the change of the Italian government.  These events were the result of parallel plots led respectively by Count Dino Grandi and King Victor Emmanuel III: their final outcome was the fall from power of the Italian Fascist government after 21 years and the arrest of Mussolini.

Supporting paragraphs: FAO Building, Rome Baths of Caracalla
Answer: 530s