Where does “archiducado” come from?

archiducado (Spanish) comes from Spanish archiduque, from Spanish duque, from Old French duc, from Latin dux, from Latin dūcō, from Proto-Italic doukō, from Proto-Indo-European déwketi, from Proto-Indo-European dewk- — to pull, to draw; to lead.

archiducado (Spanish): archduchy