Asaz decided to join Barbie Restaurant, naturally turning to Greya for guidance. So, the first thing to do was to return to the inn they stayed at to pack their belongings.
Greya and Angel also went with them.
However, they didn't go to keep an eye on Asaz, but rather because the inn Asaz stayed in was close to Mukihara Bar, and they planned to visit Fangling Hall. After all, Greya had promised Allen the day before that she wouldn't ignore Kavoline's situation.
On their way to Champagne Road, Asaz also understood that when Kavoline broke into the Void, Sebastian turned her into living ingredients.
No wonder when Sebastian passed by Mukihara Bar earlier, he had specifically mentioned there was a tasty living ingredient inside. Asaz originally thought he was referring to the owner of Mukihara, but it was actually Kavoline he meant.
It was precisely because of Kavoline's incident that Allen found Greya and thus Greya set her sights on him.