Jo looks smug the moment he decides to answer finally. A baited pleasure that seemed only to get brighter because Kaz answered. Not at all because of how he answered or what he said. Because he was right, she didn't need anyone to tell her. She's seen the looks since she got hips, heard the words not long after, and used it on several people since leaving home.

But she pushed. And Kaz gave.
He even defended himself in his answer.

Which is when she truly gets to give up the sunshine shell game.
That he's been playing the wrong game the whole time.
The do-or-die dilemma having never mattered at all.

"Aww. How sweet." Her head tips and she smiles, golden and untouchable as the dawn. Before she says very clearly, "And to answer your question—" The one her words press on as though dredging it back into existence, that she'd gotten him to forget utterly with the shift of a single question, and then some flirting and helped-badgering."—as Inej already knows, I'm a hunter."

She might not have even let him get back to that thought if it weren't for Inej showing up and knowing him well. After all, why lie to your marks when you can get them to utterly distract themselves from the fact they asked you something first to begin with? Because whatever Fjerdan women look like, she doubts he's been flustered back from picturing her up her elbows in monster gore.