I think there is a significant difference between Animatronics and Automata – the clue being in the names.
Automata have been around since Classical Greek times, because they are purely mechanical, perhaps with some basic hydraulics.
One example often cited was the temple doors that magically opened after the sacred fire on the altar had been lit. The concealed “works” were air heated in a sealed vessel pushing water into another vessel that acted as a weight attached via cords and pulleys to the doors.
Others are the quarter-jacks on late-Mediaeval church clocks; and the stiffly-animated conductor figurine on some fairground organs.
Animatronics are modern, with as the name implies, largely electrical and electronic drive. They are or were used commercially in films but also for some shop displays.
So rather different skills involved, but looked at simply as amateur engineering challenges, both worthwhile in their own right.