Eh, this is far messier than you're making it out to be and something that was never thought of when our laws were created. Had human level AI agents existed at the time we wrote the constitution I can assure you it would have been written different.
For example, our conversation now. You take for granted it's between two humans, in fact you likely assume it's from someone in your own country. And based on the contents of our conversation, if we can sway each other, that the outcome of this conversation may determine how you vote in a representational democracy.
But instead lets say that I am a non-human entity. My entire existence is dictated by a script that says "manipulate luxuryballs to the following political views'. I never tell you I'm a bot, and my disguise is one of a near perfect human simulant. You think I went fishing last week. But I'll never feel. Never care. Never vote. "My" entire existence is one of hundreds of millions of political manipulation bots bought and paid for by whoever has the wealth.
This is what is coming and it's only going to get far worse.