Haha, I like the story like that.
I'll try to include a skip mechanic for the first cutscene so it can jump straight to the playable VN sequence.
About the dialogue, there is a way to re-read previous lines. If you open the menu at the top right of the UI, there's an icon that looks like a 'message log'. Clicking that will show you the history of the conversation so far.
The game ends once the board is full. In your case, it looks like you moved at the exact moment a final tile appeared; even though you cleared it, the game had already registered the board as full. This is actually intended behavior by the way.
Thank you so much for your comment! I'll play your game as well soon.