Planning meals for a nut-allergic household comes with a different kind of stress than most dietary preferences — it's not "I'd rather not", it's "this can't happen". The honest thing to say upfront: a meal plan can keep nuts and nut-based ingredients out of what it suggests, but it can't check a real packet for "may contain traces" or catch cross-contamination in an actual kitchen. That part is still on the person cooking, every time, no matter what generated the plan.
What a plan can actually help with is the planning fatigue — scanning every recipe idea for hidden nuts (pesto, satay, certain granolas) gets old fast when you're doing it meal by meal. This planner excludes nuts from every meal it builds once you set the allergen, alongside your calorie and diet targets, and generates the shopping list to match. Set the nut exclusion above and just try it — and keep checking labels and asking about cross-contamination the way you already do, because that safety net is still yours to hold, not the planner's.