Carol shoves the rest of her own breakfast into her mouth and then realizes that Han's looking at her with the plate in his hand. She quickly chews and swallows before gesturing to one of the metallic sections under the counter.

"Incinerater is there for the food. You can just put the plate by the sink and I'll take care of it later." Probably like, way, way later when she's amassed a few other dishes. In fact, she'll start the pile now with her own.