The two enter the inn. The Lilac Inn is a pretty fancy hotel. It's not the best in the city, but it's probably the best in its price range. This is where Further is staying. It's why she wants a job in order to extend her stay. Further checks in and lets the receptionist know that she wants more bed in case she has a guest.
A lamia is playing music in the lobby. Hashidoi seems to be listening to the music with a light bob in her posture to the notes. The lamia appears to be trying to raise money from her music to try and afford a room.
She has made a little bit, as she is certainly playing skillfully, but she is by no means close to even a night's stay.