Halfway through the conversation, Rita more or less figured out what her future self was doing. And she understood why that version of her had to tell Sakura·Orange White just how special the Dull Game was.
Boasting about an item that she might frequently use later on? That was definitely not something she would normally do.
Unless she had no choice.
Unless doing so helped her obtain the final piece of the Dull Game.
She rummaged through her gacha machine and tossed down a specialized item she had picked up in It's Not the Craft That Sucks—a flower taken from a player of the Sakura world: the Lisianthus.
A flower that could swap a player's HP and MP.
After backing up a few steps, she tucked a single duck feather into the nearby maze wall.
She was coordinating with her future self, like playing two sides of the same chessboard.
