I'm new to composting, and about a week ago added cardboard packaging from freezer food (like an Eggo waffles box) - I shredded it up and mixed it into my compost bin. I've since learned that these boxes usually have a plastic coating to protect them from moisture and freezer burn.
How bad will this be for my compost, and is there anything that I can do about it short of handpicking each piece from the compost?