inviting a goy on yom tov is assur!! period.
Is it?
You’re SURE that if I invite a non-Jew to a Yom Tov meal and DON’T COOK ANYTHING (i.e. serve deli sandwiches) that it’s assur?
It’s clearly not. The issur is in cooking, not inviting. All your yelling and protesting to the contrary doesn’t change that.
As for the actual cooking, I clearly recommend you ask your LOR. You may well get a different answer than I got.
The Wolf