Bioethics Quest is needed unlocked the skills to raise an Homunculus pet.
Go to the North of Lighthalzen and go inside the Rekenber Corporation.
Look for the Rekenber Guard (lhz_in01 46,125) at the left part of the building.
Talk to him but keep in mind that you must wear your Grandpa Beard and Geek Glasses and he will warp you to get inside the portal.
