Persons are not brains
The complete argument that persons are automata must include a missing third premise that "persons are brains". But this third premise is false, so the conclusion that persons are automata doesn't follow.
The complete argument is:
1) Neurons are automata.
2) Brains are collections of neurons.
3) Persons are brains.
4) Therefore, persons are automata.
But, the third premise is false.
Selmer Bringsjord, 1992.
Note: see also the "Can Computers be persons?" arguments on Map 1.