It says “the people” as in “this very specific group of citizenspeople, subject to the jurisdiction of the United States”
You’re correct that it applies to a specific group and not just all people in general, but you are incorrectly pulling a “citizens” qualifier out of thin air. The group qualifier is jurisdiction.
English is my second language, but it says “the people”, as in " this very specific group of citizens", not “people” in general.
There are other parts that talk about citizens specifically. They intentionally did not in this case.
You’re correct that it applies to a specific group and not just all people in general, but you are incorrectly pulling a “citizens” qualifier out of thin air. The group qualifier is jurisdiction.