How do we know precisely what foods fall under the "King's Table" exemption to the rule against Bishul Akum? It is obvious that foods like potato chips probably won't be served at a state dinner, and foods like steak would, but what about foods in between? I'm curious because considering how fancy the menu is for state dinners, it would seem like most foods would fall outside the prohibition. Is there any list of what is allowed to be cooked by a non-Jew under the state dinner exemption, or should I call the White House (or Israeli president's residence or Buckingham palace) each time I have a question?
I wouldn't look at the menu so much as any given food ingredient. And yes, the OU and Star-K have called the White House kitchen, the Royal Danish kitchen, and others. Generally speaking -- "would you use canned X?" "No, we'd only cook it fresh ourselves?" (The Star-K had asked about canned cranberry sauce; the OU had asked about baked beans.)