So then I don’t get a choice as to who becomes the executive at all. Wonderful.
Ranked choice or approval voting.
Ranked choice still results in one of two candidates if those two candidates have near-majority support. They simply allow voters to pick one of those two candidates whilst expressing support for less-popular candidates. It creates MORE scenarios in which there are more than two candidates with a chance to win, but it neither eliminates the existing problem nor prevents it in all cases.
Ranked choice is better than FPTP. But it’s not a silver bullet to the issue being discussed.