Well, everybody born in the american continent is technically “american” too, including Central and South America. Is there a specific term in english for these people?
Edit: Thanks for all your answers, especially the wholesome ones and those patient enough to explain it thoroughly. Since we (South Americans) and you (North Americans) use different models/conventions of continent boundaries, it makes sense for you to go by “Americans”, while it doesn’t for us.
Mexico is also in North America though, not in Central America.
LATAM are usually pissy about the term "Americans" because the "geographical division" colloquially seem to be more of a third vs. first world division rather than a geographical division.
You can see how people from LATAM usually call themselves "americanos" to include everyone from The Americas, but Canada and USA think "North America" doesn't include Mexico.