DD's party is on Sunday and one of her friends coming is allergic to nuts - among many other things. The mother told me I can make anything aside from things with nuts because she can't be in proximity to anything with nuts. She said this includes things that say "may contain traces of nuts."
My question is what about things that say "produced in a factory that also processes nuts" or "produced on machinery that processed nuts." Are those both the same things and is it the same as something that says "may contain traces of nuts?"

I tried reaching out to the mom but have not heard back yet. Just trying to be prepared and think of alternatives. I did not realize how many items say "produced in a factory that also processes nuts!" (And how many things have soy - another thing she is allergic to.)