Question: "Jagdgeschwader" 52  was the unit of the top three scoring flying aces of all time and included a pilot who flew how many combat missions?

Context paragraphs:
Bùi Thanh Liêm: Born in Hanoi, Vietnam, he was a pilot for the Vietnam People's Air Force who rose to the rank of Captain and flew many combat missions during the Vietnam War.  In 1978, Liêm graduated from Gagarin Military Air Academy at Monino, Moscow Oblast, Russian Soviet Federative Socialist Republic, Soviet Union.

List of Korean War flying aces: Dozens of aviators were credited as flying aces in the Korean War from 1950 to 1953.  The number of total flying aces, who are credited with downing five or more enemy aircraft in air-to-air combat, is disputed in the war.

Rapid City Flying Aces: The Rapid City Flying Aces were a professional indoor American football team in Rapid City, South Dakota.  Like their predecessors, the Black Hills Red Dogs, they played their home games at the Don Barnett Arena in Rapid City.  As of April 2007 The Flying Aces did not belong to any football league.  The team was affiliated with the Indoor Football League in 2000; with the National Indoor Football League from 2001 to 2004 and in 2006; and with United Indoor Football in 2005.  The team considered rejoining the United Indoor Football in 2008.

Erich Hartmann: Erich Alfred Hartmann (19 April 1922 – 20 September 1993), nicknamed "Bubi" ("The Kid") by his German comrades and "The Black Devil" by his Soviet adversaries, was a German fighter pilot during World War II and the most successful fighter ace in the history of aerial warfare.  He flew 1,404 combat missions and participated in aerial combat on 825 separate occasions.  He claimed, and was credited with, shooting down 352 Allied aircraft—345 Soviet and 7 American—while serving with the "Luftwaffe".  During the course of his career, Hartmann was forced to crash-land his fighter 14 times due to damage received from parts of enemy aircraft he had just shot down or mechanical failure.  Hartmann was never shot down or forced to land due to enemy fire.

Robert K. Morgan: Robert Knight Morgan (July 31, 1918 – May 15, 2004) was a colonel and a Command Pilot in the United States Air Force from Asheville, North Carolina.  During World War II, while a captain in the United States Army Air Forces, Morgan was a bomber pilot with the 8th Air Force in the European theater and the aircraft commander of the famous B-17 Flying Fortress, "Memphis Belle", flying 25 missions.  After completing his European tour, Morgan flew another 26 combat missions in the B-29 Superfortress against Japan in the Pacific Theater.

Lee Lue: Major Lee Lue (1935 – 12 July 1969) was a Laotian Hmong fighter bomber pilot notable for flying more combat missions than any other pilot in the Kingdom of Laos.  Lee Lue flew continuously, as many as 10 missions a day and averaging 120 combat missions a month to build a total of more than 5,000 sorties.  Lee Lue was the leader of the special group of Hmong pilots flying T-28Ds from Long Tieng against the Pathet Lao and North Vietnamese positions.  The group was funded by the CIA and was part of the regular Royal Lao Air Force, but took orders directly from MR2 Commander Gen. Vang Pao.  He was shot down by anti-aircraft fire and killed over Laos near Muang Soui on 12 July 1969.  At the time of his death, he had flown more combat missions than any pilot in history.

Liaison pilot: A liaison pilot was a World War II United States enlisted pilot, whose wings bore an "L" in the center.  They flew light single engine liaison aircraft.  Included were many enlisted aviation students who washed out of pilot training after having soloed and were given the opportunity to become liaison pilots.  Flight training consisted of about 60 hours of flying time and stressed such procedures as short field landings and takeoffs over obstacles, low altitude navigation, first aid, day and night reconnaissance, aerial photography, and aircraft maintenance.  Unarmored and unarmed—except perhaps for a .45 pistol or .30 carbine—these men in 28 different squadrons flew low and slow with wheels, skis, or floats.  They flew varied and often hazardous missions in nearly every theater—medical evacuation from forward areas; delivering munitions, blood plasma, mail, and other supplies to front lines; ferrying personnel; flying photographic or intelligence missions; serving as air observers for fighters or bombers; and other critical yet often unpublicized missions.

Central Illinois Flying Aces: The Central Illinois Flying Aces are a Tier I junior hockey team that plays as a member of the United States Hockey League.  Based in Bloomington, Illinois, the Flying Aces play their home games at the Grossinger Motors Arena, located in downtown Bloomington.

Jagdgeschwader 52: "Jagdgeschwader" 52 (JG 52) (52nd Fighter Wing) of the Luftwaffe, was the most successful fighter-wing of all time, with a claimed total of more than 10,000 victories over enemy aircraft during World War II.  It was the unit of the top three scoring flying aces of all time, Erich Hartmann, Gerhard Barkhorn and Günther Rall.  The unit flew exclusively with the various versions of the Messerschmitt Bf 109 throughout the war.

List of World War II flying aces: This is a list of World War II flying aces.  Fighter aces in World War II had tremendously varying kill scores, affected as they were by many factors: the pilot's skill level, the performance of the airplane he flew and those he flew against, how long he served, his opportunity to meet the enemy in the air (Allied to Axis disproportion), and the standards his air service brought to the awarding of victory credits.

Supporting paragraphs: Jagdgeschwader 52 Erich Hartmann
Answer: 1,404