The IEEE, Mathematical Association of America, and the Dartmouth Alumni Association have all tried & discarded AV- as they consistently found that the vast majority of voters bullet vote https://en.wikipedia.org/wiki/Approval_voting#Other_organiza...
Moreover, it's inferior to a simple runoff with a large number of candidates. As Dartmouth found, when you have 6-8+ candidates, even with AV the plurality winner will be a pretty small chunk of total votes cast (like less than 40 or even 30%). Pretty ironic result for a method that claims that to help find the consensus solution!
Unpopular opinion, FPTP with a runoff is superior to AV or RCV just for sheer workability & finding the consensus candidate. Even more unpopular opinion, voting systems just don't matter that much- healthy democracies have been plenty stable with FPTP (the UK has like the most extreme version possible), unhealthy democracies will be unstable no matter which voting system is used