Yes, the Instant-Runoff/Hare form of RCV is a broken system that elects candidates based on incomplete information, which means it can eliminate the most-preferred candidates through vote-splitting.
There are other ranked systems that are good, like Total Vote Runoff or Ranked Robin, but in an election like this with many candidates, it can be tedious to rank every one.
A score-based ballot is probably a better choice, with less cognitive burden. (Though STAR is specifically designed for single-winner elections, not 3-winner elections. I’m not sure how well it performs in strategy-resistance in the multi-winner case. They have a proportional multi-winner variant, too.)
I’m trying to read Atomic Habits and it has a similar concept: