Min area? 31 for a rotating 3-hexagon, plus one for output, plus one for pivot arm, plus six for Berlo wheel.

I had optimized-ish solutions at 42 and 41, before the layout in the verdigris glaze event and an improvement in my sum solve inspired me to try suppressing all the inputs all the time. Three 39A layouts failed 90% of the way through programming; this one made it.