Question: Action of Picheuta took place during what important feat in the Argentine and Chilean wars of independence, in which a combined army of Argentine soldiers and Chilean exiles invaded Chile leading to Chile's liberation from Spanish rule?

Context paragraphs:
Bernardo O'Higgins: Bernardo O'Higgins Riquelme (] ; 1778–1842) was a Chilean independence leader who freed Chile from Spanish rule in the Chilean War of Independence.  He was a wealthy landowner of Spanish and Irish ancestry.  Although he was the second Supreme Director of Chile (1817–1823), he is considered one of Chile's founding fathers, as he was the first holder of this title to head a fully independent Chilean state.

Mexican immigration to Chile: Mexican immigration to Chile comprise people who emigrated from Mexico to Chile and their descendants.  The Mexican community in Chile is small.  Both countries share the Spanish language; their historical origins are common (part of the Spanish Empire).  Chile officially counts the Mexican population to be 1,874.  Most Mexicans living in Chile do it temporarily, usually for study or for work for about two or three years, so it is a community that is continually renewed.  Several of the Mexicans have made Chile their home permanently, especially those who have married Chilean citizen or citizens, or who have found a career opportunity.  In fact, several Mexican companies have settled in Chile, such as the Ideal Group (Bimbo) Telmex, America Movil (Claro (Telcel).  The Mexicans Association of Chile (www.mexicanos.cl and Facebook "Mexicans in Chile") organizes throughout the year to preserve and promote Mexican traditions such as Epiphany Day, Mother's Day, Children's Day, Day of the Dead, Mass and serenade to the Virgin of Guadalupe, Posadas, etc.  Without overlooking Independence Day in September, to commemorate the independence of Mexico, in which members come together.  It usually is attended by Mexicans who reside mainly in the capital and neighboring regions.  It is one of the most important celebrations that brings together more than 2,500 people every year.

Patagonia Rebelde: Patagonia Rebelde (or Patagonia Trágica) ("Rebel Patagonia" or "Tragic Patagonia" in English) was the name given to the violent suppression of a rural worker's strike in the Argentine province of Santa Cruz in Patagonia between 1920 and 1922.  The uprising was put down by colonel Héctor Benigno Varela's 10th Cavalry Regiment of the Argentine Army under the orders of President Hipólito Yrigoyen.  Approximately 1,500 rural workers were shot and killed by the Argentine Army in the course of the operations, many of them executed by firing squads after surrendering.  Most of the executed were Spanish and Chilean workers who had sought refuge in Argentina's Patagonia after their strike in the city of Puerto Natales in southern Chile on 27 July 1920 was crushed by the Chilean authorities, at the cost of four carabineers killed.  At least two Argentine soldiers (corporal Domingo Montenegro and private Fernando Pablo Fischer), three local policemen (sergeant Tomás Rosa and constables Ernesto Bozán and Juan Campos) and a number of ranch owners and their relatives also died during the strife.

Great Military Parade of Chile: For more than a century the Military Parade of Chile or Great Military Parade of Chile has been a tradition within the Independence Day holidays in Chile, held in Santiago, Chile's O'Higgins Park on September 19 yearly in honor of "the Glories of the Chilean Army" with a military parade involving not just the ground forces but by the rest of the Chilean Armed Forces: the Chilean Navy, the Chilean Air Force, and the Carabineros de Chile, also in of the anniversary of the formal inauguration on that day in 1810 of the First Government Junta, which witnessed the first military parade of the independent nation at the Plaza de Armas, Santiago.  It is the final act of the national independence celebrations, which are broadcast through TV and the Internet and radio.

Action of Picheuta: The Action of Picheuta was a military engagement that took place on January 24, 1817, during the Crossing of the Andes.

José Miguel Carrera: José Miguel Carrera Verdugo (October 15, 1785 – September 4, 1821) was a Chilean general, member of the prominent Carrera family, and considered one of the founders of independent Chile.  Carrera was the most important leader of the Chilean War of Independence during the period of the Patria Vieja ("Old Republic").  After the Spanish Reconquista ("Reconquest"), he continued campaigning from exile.  His opposition to the leaders of independent Argentina and Chile San Martin and O'Higgins respectively made him to live in exile in Montevideo.  From Montevideo Carrera traveled to Argentina where he joined the struggle against the unitarians.  Carreras small army was eventually left isolated in the Province of Buenos Aires from the other federalist forces.  In this difficult situation Carrera decided to cross to native-controlled lands all the way to Chile to once for all overthrow Chilean Supreme Director O'Higgins.  His passage to Chile, which was his ultimate goal, was opposed by Argentine politicians and he engaged together with indigenous tribes, among the Ranquels, in a campaign against the southern provinces of Argentina.  After the downfall of Carreras ally, the Republic of Entre Ríos, and several victories against the United Provinces of the Río de la Plata Carrera's men were finally defeated by numerically superior forces near Mendoza.  Carrera was then betrayed by one of his Argentine helpers, leading to his capture and execution in that city.  José Miguel Carrera was of Basque descent.

Chile Democrático: Chile Democrático ("Democratic Chile") was an organization of Chilean exiles in Sweden, established in 1973.  "Chile Democrático" was one of two organizations which the Swedish Immigration Department recognized as a national organization of the Chilean community (the other being the Chilean National Union).  The Swedish authorities had, however, advocated that the two national organizations merge into one, a suggestion that could not materialize due to political differences between the two bodies.

Battle of Tacna: The Battle of Tacna, also known as the "Battle of the Peak of the Alliance" (Spanish: "Batalla del Alto de la Alianza"), effectively destroyed the Peru-Bolivian alliance against Chile, forged by a secret treaty signed in 1873.  On May 26, 1880, the Chilean Northern Operations Army led by General Manuel Baquedano González, conclusively defeated the combined armies of Peru and Bolivia commanded by Bolivian President, General Narciso Campero.  The battle took place at the Inti Urqu "(Intiorko)" hill plateau, a few miles north of the Peruvian city of Tacna.  As a result, Bolivia was knocked out of the war, leaving Peru to fight the rest of the war alone.  Also, this victory consolidated the Chilean domain over the Tarapacá Department.  The territory was definitively annexed to Chile after the signing of the "Tratado de Ancón" (English: "Treaty of Ancon"), in 1884, which ended the war.  Tacna itself remained under Chilean control until 1929.

Crossing of the Andes: The Crossing of the Andes (Spanish: "Cruce de los Andes" ) was one of the most important feats in the Argentine and Chilean wars of independence, in which a combined army of Argentine soldiers and Chilean exiles invaded Chile leading to Chile's liberation from Spanish rule.  The crossing of the Andes was a major step in the strategy devised by José de San Martín to defeat the royalist forces at their stronghold of Lima, Viceroyalty of Perú, and secure the Spanish American independence movements.

Liberating Expedition of Peru: The Expedición Libertadora del Perú (Liberating Expedition of Peru) was organized in 1820 by the government of Chile, with elements belonging to the Liberating Army of the Andes and to recently restored Army of Chile, whose target was to free the Viceroyalty of Perú from Spanish rule.  The expedition was the continuation of the plan of liberation that General Bernardo O'Higgins and General José de San Martín conceived for the Spanish colonies of South America.  While the Chilean government headed by Bernardo O'Higgins played a pivotal role in organizing the expedition, the control of the Chilean Squadron was given to Thomas Cochrane, 10th Earl of Dundonald and the control of the ground force relapsed into the Argentine General José de San Martín.  The expedition managed to liberate parts of Peru.

Supporting paragraphs: Action of Picheuta Crossing of the Andes
Answer: Crossing of the Andes