She beams because she earned some kind of a laugh out of him, and that feels like a win in her books. He doesn't seem concerned about whatever the meeting was over, so she decides to relax on that point. He's calm in a way that's... real. Not that put-on thing adults sometimes do in front of "the kids". Which Inej doesn't feel like much of, ever, these days, but she realizes by technical standards, she is.

Now it's her turn to laugh, though it's more of a delighted giggle than anything else. "I really wasn't looking like that," she assures him. "I like all the pictures... you have so many of your family."