Here are some aspects of our discussions during the project that we'd like to share.
In the first discussion we made a brainstorm, and there were many suggestions of new use cases that were not in the problem specification. These use cases would be very interesting if we were going to implement the game, but this was not the aim of the Design Fest, so this discussion made us waste some time. In the next discussion, we simplified a lot our project, trying to keep it simple.
We also have noticed that the other group that was working at the same theme had ideas that would complement ours. So, it should be good to share our designs to obtain a more complete project.