Answer: Should be NOT.
Explanation: NAND would make you get emails as long as they don't have both "new" and "advanced." NOR would make you only get emails that don't have "advanced" or "new.| AND would make you only get emails with both "new" and "advanced." XOR would make you get emails as it has either "new" or "advanced," but not if it has neither or both. So NOT new makes sense, because it'll return emails that don't have "new." Hope this helps.