What is the historical origin between the United States and Prussia?

Let me start with Prussia. During the War of Independence, frederick the great came to power. He concluded the Whitehall Treaty with Britain in June 1756+16 10 to ensure the inviolability of the British king's territory in Hanover, Germany, and he used force to "deal with any country that violated the territorial integrity of Germany". At that time, the struggle between Britain and France for colonies was fierce, and it was normal to provoke France. France is mentioned because it joined the war against Britain with Spain and the Netherlands. It stands to reason that Prussia, which is similar to Britain, should help Britain under normal circumstances. But shortly after the War of Independence, the Germans set up a volunteer company in Charleston, South Carolina. The Germans formed several infantry companies around the town of Reading in Pennsylvania. Germans from Pennsylvania and Maryland formed a regiment. Others recruited German soldiers in the Mohawk Valley and organized them into four battalions. And Britain spent money to buy nearly 30 thousand German mercenaries and moved to the colonies to try to suppress the American rebellion. These soldiers did not come voluntarily, but were sold or rented to the British by the rulers of German states. Prior to this, after the end of the Seven-Year War (1754 to 1763), Britain became the biggest winner. After seven years of war, Prussia fought against France, Austria and Russia, and Frederick finally saved Silesia. The Seven-Year War made Prussia rise and officially became one of the European powers except Britain, France, Austria and Russia, but from this perspective, I personally think that after the war, Britain and Prussia should have lost their wartime foundation. After all, they should plan for the interests of their country. If Prussia had helped the North American colonies to become independent at that time, it would have greatly consumed Britain's power (at that time, the focus of British colonial management was not in India), and France, Spain and the Netherlands also joined in, which had a great chance of winning. If you win, it will not only consume the strength of Britain, but also win the favor of the United States (temporarily replaced by the United States, 1777 officially called the United States). After all, Prussia needed to recuperate after the seven-year war. If it loses, the other four countries will also suffer, which is also a breathing space for Prussia, which just ended the war. (Personal point of view only), what Prussia really supports is, for example, joining the Russian-led armed neutral alliance (the British navy has been unilaterally carrying out the task of searching merchant ships of various countries for smuggling weapons in wartime, and this alliance is precisely to prevent this kind of behavior of Britain), prohibiting mercenaries from the Principality of anhalt-Zerbeste from passing through Prussian territory, and preventing German countries and Russia from sending mercenaries. At the same time, he also promised that once France recognized the United States, Prussia would also recognize the United States. All aspects of information are probably like this. I found a post when I was looking for information. You can have a look. Something like this /p/ 123088 1620.

In addition, I found a document, I don't know if it's right, it's still in English. Translation really can't translate the feeling of faithfulness and elegance. Pick a few words and see for yourself.

But we have forgotten that a German army of 15,000 to 20,000 men once fought against us for seven years. More than 29 thousand people were brought to the United States for this purpose; More than 12,000 people never returned to Germany.

However, I found that the original German account of every important participation, and almost every small-scale war of independence ended from 1776, except for some battles in Carolina and Georgia, few, if any, Germans participated. I believe that some of these reports have never been noticed by American writers.