Interesting card game - never heard about it before. But it reminds me of the card game Set [1], which has a similar objective of finding cards that "belong together" in some sense. It also has interesting (and similar) mathematical properties, although there is no analytical solutions (as far as I know) once you start playing by removing sets. I was really fascinated by this twelve years ago, an simulate game play to find the probabilities [2]. Great fun!
1. https://en.wikipedia.org/wiki/Set_(card_game)
2. https://henrikwarne.com/2011/09/30/set-probabilities-revisit...