First Amendment? Never heard of it
“This official White House photograph is being made available only for publication by news organizations and/or for personal use printing by the subject(s) of the photograph. The photograph may not be manipulated in any way and may not be used in commercial or political materials, advertisements, emails, products, promotions that in any way suggests approval or endorsement of the President, the First Family, or the White House.”
IANAL, but: A photograph published by the government, of a government employee (who is also a public figure) on government property, engaged in a government funded activity is about as public domain as you can get.