Are you sure about that?
https://www.npr.org/2022/09/10/1122089076/is-america-a-democracy-or-a-republic-yes-it-is
https://constitutionus.com/democracy/what-type-of-government-does-the-us-have/
https://factmyth.com/factoids/the-united-states-of-america-is-a-democracy/
Yes, I am.
Your Google search should have started with the differences between Constitutional and Democratic Republics and which of the two correlates to the U.S. form of Republicanism, rather than citing the first article to prove yourself correct; an article, mind you, contributed by someone who is a big fan of Obama and his politics, nonetheless.
There are major differences between Democratic and Constitutional Republics that should be understood if you want to be an expert on Republicanism.
Also, the correct definition for empire refers to nations/states/countries/territories/etc. being ruled under one authority. You are using it in the figurative sense.
Saying a particular entrepreneur built an empire in the recording industry, auto manufacturing, telecommunications, or whatever else is also a common figurative use of the term, but it is not literal.
i think anytime you add a qualifier to "empire", you are implying it doesn't have the same meaning as the standalone literal term -- i.e. global political empire is not the same as a literal empire: "A political unit having an extensive territory or comprising a number of territories or nations and ruled by a single supreme authority."
I have never met a single person who believes the U.S. is a literal empire, as in the case of nation states that has direct sovereign control over the territories it has influence over. I'm not sure why you are hyper focused on trying to prove yourself right through literal definitions, because it's obvious that people substitute empire interchangeably with imperialistic power because it's easier to say.
Just at you can get your dopamine rush for the day, I will amend my statement and call the U.S. an imperial power instead of an empire going forward.
"Imperialism can be defined as a doctrine, political strategy, practice, state policy, or advocacy that consists in extending power by territorial acquisition or by extending political and economic control outward over other areas. Imperialism oftentimes involves the use of military and economic power, and always aims for more expansion and collective or individual domination."(
https://www.law.cornell.edu/wex/imperialism#:~:text=Imperialism%20can%20be%20defined%20as,control%20outward%20over%20other%20areas.)
"The focus of the critique is not just U.S. military power, which is overwhelmingly dominant, but also U.S. cultural influence (rock music, movies, styles of dress and behavior), U.S. political power, which forces countries to change political institutions and practices they would often rather not change, and U.S. economic influences, which force countries to adopt neoliberal policies that often hurt their economies but work to the economic advantage of the United States itself. In all these areas the United States presumes like an old uncle to know best for the rest of the world."
(
https://www.encyclopedia.com/history/dictionaries-thesauruses-pictures-and-press-releases/empire-and-imperialism-united-states)
But please tell us how the U.S. doesn't use it's political, economic or military influence to "motivate" other nations to do what it wants, or to put it's nose in everyone's business, thereby disqualifying it from meeting the criteria for being imperialistic.