A new mishnah (from the bottom of 94) - a garment with blood that was sprayed from a sin-offering and that was later moved out of the Temple courtyard - should be brought back to the courtyard for its laundering process. Earthenware vessels would need to be destroyed... which repurifies them, essentially. Likewise, the garment might be torn, so that it could be returned the courtyard in purity. But doesn't it then become so small that it's just a tiny scrap? How to achieve that middle ground that is not a garment and therefore repurified, but still large enough to launder (only "garments" were laundered)? Also, note that anywhere that the sin-offering is cooked, there's a need for purging and rinsing. But what about a vessel in which its broth is poured? That's not cooking - and yet it needs to be broken. What about using that same vessel for a food that is quintessentially dairy, like kutach? These rules about the sacrifices inform our understanding of kashrut, certainly.