Thanks for playing! This is very encouraging!
Regarding the Beat issue, that was an error on my part with a recent update. I rebalanced certain enemy skills which ended up altering the tutorial, causing the fight to end before Beat can be explained properly. That will be fixed in future builds, but the basic gist is that every skill has a finisher effect that triggers when you meet its Beat threshold. Hopefully when the tutorial is updated, there will be less confusion on that front.
Thank you again for playing, I'm glad you enjoyed it!