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Oh that's fun. I like this, but you really need that RCV to avoid vote splitting. I wonder if it's better off as approval? Strategic voting around a sortician option would be very weird.
Cause RCV for a sotrician option is, statistically, likely to pick a moderate voter who leans towards the thing you dislike. There's something anti-inductive here.
When voters are required to rank every candidate vote splitting isn't an issue. This is actually easier when there is a lottery rank because you can make a default ranking as equal to (or below) lottery, then just pull people above or below. Strategically, I think the lottery option is more a "candidates below this rank suck" option, which forces politicians to be at least better than random citizens from the perspective of most citizens.
I made a top level comment on this too.