Stevie G. wrote an answer about Stoic Ti Double Wall Mug w/Lid - 450ml on April 16, 2013
Yes, it fits inside the Stoic 700ml pot. However, the pot lid won't sit flush if the plastic lid is on the mug. I have a Zelph alcohol SuperStove that fits inside with plenty of room to spare.. I'm not sure on the size of the cat food stove.