Toz wondered if he should simply smash the Rat King's brain but decided not to be rash since it could be worth a lot to alchemists or scholars intent on studying the Scorched Earth Rat King or using its body for some funky experiment.
However, killing it in an elaborate way would place further suspicion on Hugh's story. Sure the mysterious expert might have helped him kill it. But intentionally killing it in such a way that Hugh could make as much profit off of its dead body? Far-fetched. There was also the option of intentionally killing it in a gruesome but simple way to further collaborate the story, but that would risk upsetting Hugh.
Eventually, Toz looked at Hugh and asked,
"Hey, can I borrow your axe?"
Hugh could almost guess what Toz needed it for and summoned the axe that, upon him losing consciousness, had returned to the inclination's storage.
"Here, but be careful. It should be pretty heavy."