Question: For which campaign did this American five-star general, who took over George Brett's command of United States Army Forces in Australia, receive the Medal of Honor?

Context paragraphs:
Douglas MacArthur: Douglas MacArthur (26 January 18805 April 1964) was an American five-star general and Field Marshal of the Philippine Army.  He was Chief of Staff of the United States Army during the 1930s and played a prominent role in the Pacific theater during World War II.  He received the Medal of Honor for his service in the Philippines Campaign, which made him and his father Arthur MacArthur, Jr., the first father and son to be awarded the medal.  He was one of only five men ever to rise to the rank of General of the Army in the US Army, and the only man ever to become a field marshal in the Philippine Army.

United States Army Adjutant General School: The Adjutant General School and the Soldier Support Institute (SSI) are located at Fort Jackson, South Carolina.  These provide training and development of doctrine and organization for Army personnel and administrative operations.  Along with the U.S. Army Forces Command (FORSCOM), United States Army Training and Doctrine Command (TRADOC) was created from the Continental Army Command (CONARC) located at Fort Monroe, VA on 1 July 1973.  Today, TRADOC is the overseer of training of the Army forces, the development of operational doctrine, and the development and procurement of new weapons systems.  The reconstructed Adjutant General Corp Regiment (AG) was created in 1987.  The U.S. Army administration and finance specialists are trained at the Adjutant General School located at Fort Jackson.  Today’s AG Corps serves as human resource (HR) managers for the Army.

United States Army Forces Command: United States Army Forces Command (FORSCOM) is the largest United States Army command and provider of expeditionary, regionally engaged, campaign-capable land forces to combatant commanders.  Headquartered at Fort Bragg, North Carolina, FORSCOM consists of more than 750,000 Active Army, U.S. Army Reserve, and Army National Guard soldiers.  FORSCOM provides enhanced land power gaining operational depth and versatility through a mix of fully integrated Active and Reserve Component forces operating in a joint, interagency, intergovernmental, and multinational (JIIM) environment.  Its organizations are expeditionary, campaign focused, and tailorable to provide combatant commanders the required capabilities to be decisive across the range of military operations.  FORSCOM was created on July 1, 1973, from the former Continental Army Command (CONARC).

General of the Army (United States): General of the Army (abbreviated as GA) is a five-star general officer and the second highest possible rank in the United States Army.  A General of the Army ranks immediately above a general and is equivalent to a fleet admiral and a General of the Air Force.  There is no established equivalent five-star rank in the other federal uniformed services (Marine Corps, Coast Guard, United States Public Health Service Commissioned Corps, and National Oceanic and Atmospheric Administration Commissioned Corps).  Often called a "five-star general", the rank of General of the Army has historically been reserved for wartime use and is not currently active in the U.S. military.  The General of the Army insignia consisted of five 3/8th inch stars in a pentagonal pattern, with points touching.  The insignia is paired with the gold and enameled United States Coat of Arms on service coat shoulder loops.  The silver colored five-star metal insignia alone would be worn for use as a collar insignia of grade and on the garrison cap.  Soft shoulder epaulettes with five 7/16th inch stars in silver thread and gold-threaded United States Coat of Arms on green cloth were worn with shirts and sweaters.

Rhett A. Hernandez: Lieutenant General Rhett A. Hernandez is a retired officer in the United States Army and the former commander of the United States Army Cyber Command which is the Army’s service component to U.S. Cyber Command.  Hernandez, as a major general, assumed the position upon its activation (which included the command receiving and perpetuating the lineage and honors of the former Second United States Army) on October 10, 2010, with its headquarters at Fort Belvoir Virginia.  He received a promotion to lieutenant general on March 25, 2011.  As head of US Army Cyber Command, Hernandez was responsible for planning, coordinating, and integrating the network operations and defense of all US Army networks.  Hernandez also was tasked with conducting cyberspace operations in support of Army operations through his command of approximately 21,000 soldiers and civilians.  Hernandez oversaw a command that brought an unprecedented unity of effort and synchronization of all Army forces operating within the cyber domain.  Under Hernandez, the command concentrated its efforts on operationalizing cyberspace and improving Army capabilities in the cyberspace domain.  As a first step, the command established the Army Cyber Operations and Integration Center collocating intelligence, operations, and signal staffs, together with a critical targeting function, and bringing a new synergy to Army cyberspace operations.  To improve the Army’s cyber capabilities the command fielded a World Class Cyber Opposing Force at the National Training Center; developed new doctrinal concepts for Land-Cyber operations; and identified the Army’s capability requirements needed to fully operationalize the cyberspace domain and grow the Army’s cyber force.  He currently serves on the Board of Advisors of the Military Cyber Professionals Association (MCPA).

The class the stars fell on: The class the stars fell on is an expression used to describe the United States Military Academy Class of 1915.  In the United States Army, the insignia reserved for generals is one or more stars.  Of the 164 graduates that year, 59 (36%) attained the rank of general, more than any other class in the history of the United States Military Academy at West Point, New York, hence the expression.  Two reached the rank of five-star General of the Army.  There were also 2 four-star generals, 7 three-star lieutenant generals, 24 two-star major generals and 24 one-star brigadier generals.  Dwight D. Eisenhower, one of the five-star generals, went on to become the 34th President of the United States.

Walter T. Kerwin, Jr.: Walter Thomas Kerwin, Jr. (June 14, 1917 – July 11, 2008) was a United States Army four star general who served as Commanding General, U.S. Continental Army Command (CG CONARC), 1973; Commanding General, United States Army Forces Command (CG FORSCOM) from 1973 to 1974; and Vice Chief of Staff, U.S. Army (VCSA) from 1974 to 1978.  He was the first commander of United States Army Forces Command and a member of the Association of the United States Army’s Advisory Board of Directors since 1984.

Fort Bragg: Fort Bragg, North Carolina, is a military installation of the United States Army and is the largest military installation in the world (by population) with more than 50,000 active duty personnel.  The installation is located within Cumberland, Hoke, Harnett and Moore counties.  The installation borders the towns of Fayetteville, Spring Lake and Southern Pines.  It was also a census-designated place in the 2010 Census, during which a population of 39,457 was identified.  It is named for Confederate General Braxton Bragg.  It covers over 251 sqmi .  It is the home of the Army's XVIII Airborne Corps and is the headquarters of the United States Army Special Operations Command, which oversees the U.S. Army 1st Special Forces Command (Airborne) (Provisional) and 75th Ranger Regiment.  It is also home to the U.S. Army Forces Command, U.S. Army Reserve Command, and Womack Army Medical Center.  Fort Bragg maintains two airfields: Pope Field, where the United States Air Force stations global airlift and special operations assets as well as the Air Force Combat Control School, and Simmons Army Airfield, where Army aviation units support the needs of airborne and special operations forces on post.

George Brett (general): George Howard Brett (7 February 1886 – 2 December 1963) was a United States Army Air Forces General during World War II.  An Early Bird of Aviation, Brett served as a staff officer in World War I.  In 1941, following the outbreak of war with Japan, Brett was appointed Deputy Commander of a short-lived major Allied command, the American-British-Dutch-Australian Command (ABDACOM), which oversaw Allied forces in South East Asia and the South West Pacific.  In early 1942, he was put in charge of United States Army Forces in Australia, until the arrival of Douglas MacArthur.  Brett then commanded all Allied Air Forces in the Southwest Pacific Area.  In November 1942, he was appointed commander of the US Caribbean Defense Command and remained in this post for the rest of the war.

General of the Air Force: The General of the Air Force (abbreviated as GAF) is a five-star general officer rank and is the highest possible rank in the United States Air Force.  General of the Air Force ranks immediately above a general and is equivalent to General of the Army in the United States Army and Fleet Admiral in the United States Navy.  The rank has only been held once in history, by General Henry H. Arnold, who served as head of the United States Army Air Forces during World War II.

Supporting paragraphs: George Brett (general) Douglas MacArthur
Answer: the Philippines Campaign