It is kind of a let down to know that the cart and geodes are written in stone when the save file is first created. It seems that it would be more "random" if each day a new random seed was created for the next day. At least that way you don't come to the realization that, No, You never were going to get that cabbage, because the gods hated you on day one. That said, have you got a list of any really good game IDs for early community center completion? From my rudimentary testing it seems, with a file editor, it's fairly easy to change your characters luck mid-game.