https://www.dictionary.com/browse/business
Someone's profession (their "business") can certainly be working at a nonprofit, but that's because they are getting paid. The nonprofit organization itself is not a business. You might be looking for the word "corporation", which can include nonprofits.
Nonprofits in the US literally are corporations, just with a different tax status. They need revenue that exceeds their costs. Many of them sell things. They can even turn a profit. Ikea operates as a nonprofit in the US.
Requiring more revenue than costs does not a business make. You starting a nonprofit does not give you special insight into the meaning of words. I am the treasurer on the board of a nonprofit. I have had to go through the books quarterly, confirm we’ve got enough cash for a year of runway, etc. The understanding of what nonprofits do is not the issue. This is a boring dispute over words (semantics).
Remember, you initiated this dispute over words when you made an argument “by definition” and you criticized KolmogorovCamp’s correct use of the distinction between nonprofits and businesses.
