Question: The Franco-Spanish reconquest of Menorca (historically called "Minorca" by the British) from its British invaders in February 1782, after the Siege of Fort St. Philip lasting over five months, was an important step in the achievement of Spain's aims in its alliance with France against Britain during the American Revolutionary War, the ultimate result was the devolution of the island to Spain in which treaty, signed in Paris by representatives of King George III of Great Britain and representatives of the United States of America on which date, ended the American Revolutionary War?

Context paragraphs:
Treaty of Alliance (1778): The Treaty of Alliance with France or Franco-American Treaty was a defensive alliance between France and the United States of America, formed in the midst of the American Revolutionary War, which promised mutual military support in case fighting should break out between French and British forces, as the result signing the previously concluded Treaty of Amity and Commerce.  The alliance was planned to endure indefinitely into the future.  Delegates of King Louis XVI of France and the Second Continental Congress, who represented the United States at this time, signed the two treaties along with a separate and secret clause dealing with future Spanish involvement, at the hôtel de Coislin (4, place de la Concorde) in Paris on February 6, 1778.  The Franco-American alliance that would technically remain in effect until the 1800 Treaty of Mortefontaine, despite being annulled by the United States Congress in 1793 when George Washington gave his Neutrality Proclamation speech saying that America would stay neutral in the French Revolution.

Armada of 1779: The Armada of 1779 was a combined Franco-Spanish naval enterprise intended to divert British military assets, primarily of the Royal Navy, from other war theatres by invading the Kingdom of Great Britain during the American Revolutionary War.  The proposed plan was to seize the Isle of Wight and then capture the British naval base of Portsmouth.  Ultimately, no fleet battles were fought in the Channel and the Franco-Spanish invasion never materialized.  This threat to Great Britain prompted comparisons to the earlier Spanish Armada of 1588.

Invasion of Minorca (1781): The Franco-Spanish reconquest of Menorca (historically called "Minorca" by the British) from its British invaders in February 1782, after the Siege of Fort St. Philip lasting over five months, was an important step in the achievement of Spain's aims in its alliance with France against Britain during the American Revolutionary War.  The ultimate result was the devolution of the island to Spain in the Treaty of Paris in 1783.

Es Castell: Es Castell (Spanish: "Villacarlos" ) is a small municipality in eastern Menorca in the Balearic Islands, Spain.  The town was founded in 1771 by British Col. Patrick Mackellar and was originally called "Georgetown" in honour of King George III; however, it takes its current name from the large fort nearby, known to the British as St. Philip's Castle.  Col. Patrick MacKellar (Argyllshire 1717-1778) was the chief engineer of Menorca and his house today is known as Son Granot.  Es Castell celebrates its Foundation Day on 1 June with 18th-century themed festivities, in which the Municipality itself, St. Philip's Castle Foundation, Son Granot and other institutions participate.

Jay Treaty: The Treaty of Amity, Commerce, and Navigation, Between His Britannic Majesty and the United States of America, commonly known as the Jay Treaty, and also as Jay's Treaty, was a 1795 treaty between the United States and Great Britain that averted war, resolved issues remaining since the Treaty of Paris of 1783 (which ended the American Revolutionary War), and facilitated ten years of peaceful trade between the United States and Britain in the midst of the French Revolutionary Wars, which began in 1792.  The Treaty was designed by Alexander Hamilton and supported by President George Washington.  It angered France and bitterly divided Americans.  It led to the formation of two opposing parties in every state, the pro-Treaty Federalists and the anti-Treaty Republicans.

Treaty of Aranjuez (1779): The Treaty of Aranjuez was signed on 12 April 1779 between France and Spain.  France agreed to aid in the capture of Gibraltar, the Floridas (East and West Florida, and the island of Menorca.  In return, the Spanish agreed to join in France’s war against Great Britain.  Based on the terms of the treaty, Spain joined the American Revolutionary War against Britain.

Peace of Paris (1783): The Peace of Paris of 1783 was the set of treaties which ended the American Revolutionary War.  On 3 September 1783, representatives of King George III of Great Britain signed a treaty in Paris with representatives of the United States of America—commonly known as the Treaty of Paris (1783)—and two treaties at Versailles with representatives of King Louis XVI of France and King Charles III of Spain—commonly known as the Treaties of Versailles (1783).  The previous day, a preliminary treaty had been signed with representatives of the States General of the Dutch Republic, but the final treaty which ended the Fourth Anglo-Dutch War was not signed until 20 May 1784; for convenience, however, it is included in the summaries below.

Franco-American alliance: The Franco-American alliance was the 1778 alliance between the Kingdom of France and the United States during the American Revolutionary War.  Formalized in the 1778 Treaty of Alliance, it was a military pact in which the French provided many supplies for the Americans.  The Netherlands and Spain later joined as allies of France; Britain had no European allies.  The French alliance was possible once the Americans captured a British invasion army at Saratoga in October 1777, demonstrating the viability of the American cause.  The alliance became controversial after 1793 when Britain and Revolutionary France again went to war and the U.S. declared itself neutral.  Relations between France and the United States worsened as the latter became closer to Britain in the Jay Treaty of 1795, leading to an undeclared Quasi War.  The alliance was defunct by 1794 and formally ended in 1800.

Treaty of Paris (1783): The Treaty of Paris, signed in Paris by representatives of King George III of Great Britain and representatives of the United States of America on September 3, 1783, ended the American Revolutionary War.  The treaty set the boundaries between the British Empire in North America and the United States, on lines "exceedingly generous" to the latter.  Details included fishing rights and restoration of property and prisoners of war.

Battle of Minorca (1756): The Battle of Minorca (20 May 1756) was a naval battle between French and British fleets.  It was the opening sea battle of the Seven Years' War in the European theatre.  Shortly after the war began British and French squadrons met off the Mediterranean island of Menorca (historically called "Minorca" by the British).  The French won the battle.  The subsequent decision by the British to withdraw to Gibraltar handed France a strategic victory and led directly to the Fall of Minorca.

Supporting paragraphs: Invasion of Minorca (1781) Treaty of Paris (1783)
Answer: September 3, 1783