Harukanaru Toki No Naka De: Banue Yuugi

Sometime after the first protagonist and her friends arrive in the parallel world, Shirin traps the White Dragon Priestess's soul within an eternal dream. The dreaming protagonist encounters three copies of herself, each claiming themselves to be parts of the priestess's divided conscious. Trapped in a replica of the capital with dream versions of their comrades, the four priestesses compete to expose the impostor who is preventing the real priestess's return to reality. Their goal is to gain Fujihime's trust by retrieving legendary treasures: the Robe of the Fire-rat, the Jeweled Branch, the Dragon's Throat Gem, and Buddha's Stone Bowl.