This was a fun puzzle concept that allowed for many solutions and much experimentation.
At first I thought it could be improved by showing the requirement for building everything before you unlock it. After playing further though, I am not so sure. There was a sense of accomplishment and fun to be had from the experimentation too. I think it's just a little too much trial and error at first, but maybe there's some way to reduce that without fully abandoning the experimentation process. Maybe if there were a couple more combinations that resulted from using the base tiles, there'd be less "errors" to the starting trials.
Either way, everything looks and works with polish. Great job!