I am aware that I haven't yet rolled for your engineering skill acquisition but with all my crazy travelling lately I haven't had much time to focus on the numbers. I'll get to it eventually.
You are welcome to stay as an engineering apprentice as long as you roll up a character in their wargame.
You left the robot lying in the mud where you woke up in this world. It isn't far from the Duke farm. It takes less than a day to walk between the two.
Jim-Bob begins working on various sketches for the beer engine transmission to a flywheel system to store energy and the system to send this energy to remote auxiliaries. Sammy is working on the propulsion system, which sounds like a large pair of legs. Bea is working on a control system. Desi is working on body styling and the basic structural frame to mount everything into. The Dark Lord is working on weapons systems and deployment, which seems to involve a pair of arms wielding an axe. You are helping them all out with sketches, going out to the junk heap to look for what parts might be available and liaison with the mechanics, machinists and other techies. It is all in very much a brain-storming mode so any suggestions you might have would be welcome.