So I was looking at the moment when carrot snuck into the sunny. I originally thought Pedro informed her but things seemed to happen way too quickly for that. I thought carrot joined the ship because Pedro was there, but it seems she had intended to do this before Pedro request regardless if he was there. Immediately following this the king's bird position became obsolete as the minks were allow to sleep when ever they wanted following peace between the kings.
This means the original position carrot had isn't so special anymore, We don't know what Carrot intend to do because she seems to still want to adventure but still carries the emotional baggage of pedro death. Carrot folk lore for her name seems to imply being a look out but that just it. folk lore.