Isn't liuyong from China? Why is his nationality American? Is he also an American-born China?

I read Baidu Encyclopedia, and it shows that Liu Yong's ancestral home is Taiwan Province Province. I think I immigrated to America later. The United States is originally an immigrant country, that is, this country is made up of immigrants. People from all over the world come to the United States, change their nationality if they meet the requirements, and finally become Americans. This is very common in America. The United States also welcomes people from all over the world to immigrate to the United States, and has established relatives immigrants, high-tech talents immigrants, investment immigrants, skilled immigrants and so on.

The landlord said that he was born in the United States and is an American, which is determined by the American nationality law. But a person can't be an American just because he was born in the United States, and he can change his international status when he grows up.