Thank you for playing, and for posting feedback! I agree on both points. I did a tiny fix for the "ready" button, so now it should be clickable without going through the popups. The tutorial was hacked together last minute...
And the plan was to have many more levels and to give the new tile types out slowly (About 1 per 4 levels). I agree it gets too dense, but unfortunately I ran out of time. Might do that change if I come back to this later to make more levels though!