Hey this is a really cool take on the score-chaser/deck builder idea! And we love choosing 1-of-3 things here too!
My only feedback would be it would be nice to be able to control the rotation of the domino you place, so you could choose which direction it went on the end of the chain.
We also created a deckbuilder/score chaser for our game jame game, so would love your feedback too if you want to give it a try!