|34||A1:5 A2:5 A3:5 B1:3 B2:3 B3:3 C1:0 C2:0 C3:0|
|15||A1:2 A2:2 A3:2 B1:5 B2:5 B3:5 C1:2 C2:2 C3:2|
|51||A1:0 A2:0 A3:0 B1:2 B2:2 B3:2 C1:5 C2:5 C3:5|
Hare Quota is 33.333 voters, and 166.666 points. The A-faction has this, but the final result is actually 2 C 1 B.
With Sequentially Spent Score with Monroe selection (elect whoever can get a Hare Quota of points with the fewest ballots + other tiebreaker, and I think you have to reweight only the ballots used to select the winner), the A-faction would for sure be able to win a seat. As a bonus, this is not too complex to explain either.
I could be wrong about how ASV works, so I’ll update if that Reddit thread proves the example wrong. For example, it may be possible to get an A winning with the “Score - Mean of Scores on Ballot” metric for apportionment.