Being a 501c3 educational institution requires that “the services provided by the organization are available to the general public.” It’s a private institution

Being a 501c3 educational institution requires that “the services provided by the organization are available to the general public.” It’s a private institution as you say, but it’s a private institution that benefits from a particular tax status in exchange for serving the public good. https://www.law.cornell.edu/uscode/text/26/501#k https://www.law.cornell.edu/uscode/text/26/501#k