The United States has been involved in a number of wars throughout its history, and while there is no one-size-fits-all answer to the question of whether or not the US has ever lost a war, there are certainly some conflicts that could be considered losses or at least partial losses. In this answer, I will discuss some of these conflicts and analyze the factors that contributed to their outcomes.

The American Revolution
The American Revolution (1775-1783) was a conflict between Great Britain and thirteen British colonies in North America, which ultimately led to the formation of the United States. While the US was ultimately successful in achieving its independence, it is important to note that the war was far from a decisive victory for the Americans. At the outset of the conflict, the British army was the most powerful military force in the world, and the Americans were largely untrained and ill-equipped. Over the course of the war, the Americans suffered a number of significant defeats, including the capture of New York City in 1776 and the surrender of Charleston in 1780. However, despite these setbacks, the Americans were ultimately able to secure the support of France, which provided them with much-needed resources and helped them to turn the tide of the war. In the end, the Americans were able to force the British to recognize their independence, but the victory was far from complete and required significant support from France.
The Korean War
The Korean War (1950-1953) was fought between North Korea, supported by the Soviet Union and China, and South Korea, supported by the United States and other Western nations. The war began in June 1950 when North Korea invaded South Korea, and it quickly became a brutal and bloody conflict. The US entered the war in support of South Korea, and by the end of 1950, the North Korean army had been pushed back almost to the Chinese border. However, in late 1950, China entered the war on the side of North Korea, and the tide of the conflict began to turn. The US and its allies were eventually able to repel the Chinese and North Korean forces, but the war ended in a stalemate, with the border between North and South Korea remaining largely unchanged. While the US and its allies were able to prevent North Korea from taking over South Korea, they were not able to achieve their objective of reunifying the Korean peninsula, and the war is often considered a partial loss.
The Vietnam War
The Vietnam War (1955-1975) was fought between North Vietnam, supported by the Soviet Union and China, and South Vietnam, supported by the United States and other Western nations. The US entered the war in support of South Vietnam, which was facing a communist insurgency supported by North Vietnam. Despite significant military and economic aid from the US, South Vietnam was never able to gain the upper hand in the conflict, and the war became increasingly unpopular at home. In 1973, the US signed a peace agreement with North Vietnam, which called for a ceasefire and the withdrawal of US troops from Vietnam. However, the conflict continued, and in 1975, North Vietnam launched a major offensive that resulted in the fall of Saigon and the reunification of Vietnam under communist rule. The Vietnam War is often considered a loss for the US, as it was unable to achieve its objectives and suffered significant casualties and political fallout as a result of the conflict.
In conclusion, the question of whether or not the US has ever lost a war is a complex one that depends on a number of factors, including the objectives of the conflict and the context in which it was fought. While the US has certainly been successful in many of the wars it has fought, there are also a number of conflicts that could be considered losses or partial losses, including the American.