Where is Eileen after Gascoigne?

I'm curious to know, where exactly does Eileen go after encountering Gascoigne in the game? Does she continue on her journey through the labyrinthine castle, perhaps venturing deeper into the unknown territories? Or does she take a detour, seeking refuge or pursuing another lead altogether? It's intriguing to ponder the path she chooses after that fateful encounter, and how it might shape her adventure and the challenges she faces ahead. Could you shed some light on what comes next for Eileen in her journey?