The sourdough bread, the butter, the cottage cheese or the meatloaf that my sandwiches consisted of weren't "ultra-processed". Neither was the boiled egg, the cut up fruits or vegetables or the homemade yoghurt. And of cause I didn't have an ice pack in my lunch box. I know nobody who had one.
I don't know what you have in your fridge, but I bet you 90% of the contents of 90% of the American fridges are more processed than what an average German school kid has in its lunchbox. So just throw out the 10% that aren't and feast on the remaining 90%.