Thanks for the links. I found the first link interesting and then disappointing, since I had worked at a bookstore in NYC in the early 90s that carried a lot of philosophy books, economics books mainly from the Austrian School, and so the mises.org link caught my eye. Ryan McKaken the author of the article basically dismisses the use of "we're a republic and not a democracy" when used as an argument in two cases of what he believes people are thinking. I was pointing out that we are not simply "a democracy", but more precisely constitutional republic, no more, no less.
How do you answer the question, "What type of government does the U.S. have?"
As to your question, I would say that the U.S. constitution defines (indeed, guarantees) the country as having "a republican form of government" (at the state level, but this is maintained at the federal level), and that the processes and principles that it puts in place, such as representative elections, qualify that system as democratic.
https://mises.org/wire/stop-saying-were-republic-not-democra...
https://www.bloomberg.com/opinion/articles/2019-04-11/is-u-s...
https://thebaffler.com/latest/were-a-republic-not-a-democrac...