She doesn't correct him that it's actually her fourth, it doesn't matter. Technically it IS a second chance. The other times she survived but now she's getting to live, well, live so long as she meets the standards and approval of the vampire courts. But they must have seen... something in her, right? But she also knows she can't depend on the vampire court to find value in her. Her stepmother was a vampire, she certainly hadn't. She had to find value in herself.

"It is, yes, a second chance and my first time making friends and experiencing the world as a whole. My life was just the manor walls otherwise. A beautiful cage to clean, to be sure. I'm sorry you had to meet me like this, though."