I think Beato was always wishing for Battler to understand her, though there’s no denying she also enjoyed playing the game with him as much as he did. At the end of Alliance she flat out gives up on it because Battler has crushed all her hopes that he’d ever get it; even after four games she put her all into creating she still has no progress to show for it. And then Battler murders her while she plays the role of the evil witch who stole his sister’s family away from her so he doesn’t hesitate (because in reality he’s fallen heads over heels for her at this point). Perfect.
When Battler finally does get it Beato has already died completely. It’s a pretty tragic tale.