Trans Bump, I wanna know what the heck Kokoro is saying in this arc.

Okay, I did my best with the translation, but I put it back into "check_translation" because, looking at the next one, I've either messed something up or there's something missing.
Based on this comic, Hata no Kokoro wins with three aces, but looking at the next one, it seems like Cirno pulled off a straight somehow. Is it because "showdown" means they draw the fifth common card, which ends up giving Cirno a straight?
I'm not a poker player, so...

Thinking carefully, it looks like my idea about the fifth common card is right...