Three Sisters at the Inn

Three sisters share a small room at The Sealed Compass, near the harbour. Their names are Anya, Mira, and Lys. Each has chosen a different bed: the one by the window, the one by the door, and the one by the hearth.

The innkeeper tells Cora three things:

• Anya does not sleep by the window.
• Mira sleeps by the door.
• Lys does not sleep by the hearth.

Which sister sleeps by the hearth? Answer with a single name.