This is cool! Falling block puzzles based on table games have a lot of potential for neat interactions. It reminds me a little bit of Ryu-Kyu (a.k.a. Solitaire Poker). Using the rules of Cribbage works very well here!
One thing I found took a little getting used to was that it seems Runs are only read left-to-right (e.g., A23). It might be helpful for strategizing if Runs also counted if they were put together right-to-left (e.g., 32A), or maybe even out-of-order (e.g., A32, 3A2, etc.). Though, I can understand that might also impact the game balance if sequences are set off too easily.
I'll play a few more rounds. :) You might find me on the leaderboard as AJK. ;)

