What were the safety considerations in getting the monkey out of the cage and into the autopsy

First, they had to make sure the monkey wasn't alive, a bite would be deadly. Then, Nancy touched the monkey to check for muscle reaction, again, there was no sign of life. Jaax moved the monkey around, and them the two "carried him over to a hatbox, a biohazard container, and they slid the monkey into it. Then they carried the hatbox to the necropsy room, shuffling slowly in their suits. They were two human primates carrying another primate."