(OOC Note: All responses will be coming from this journal, and the icons themselves will be major spoilers. She is very frequently with Ekko, so there is a chance of three-person threads, if you're cool with those. It's fine if not, of course.)

During the first day,

running into her will be pretty easy... because she'll literally be running all over the Barge, with a look of both confusion and amazement.

The second she sees anyone, she'll be quick to ask them what this place is, where they are, why they are, etc. She very genuinely doesn't know who almost anyone around here is, but she does keep asking about Ekko, Vander, Silco, etc. Maybe that's the first question out of her mouth at the next one she stops.

After the first day,

she spends quite a lot of time at the cafeteria, anxiously sipping at juice, water, or tea. Whenever she isn't there, it'll be easiest to find her sitting outside of the Greenhouse, reading a book with an increasingly unreadable expression. By the time she gets to the end of that book, it's impossible to tell what's going through her mind.

After closing it slowly, she just sits there, hands folded in her lap as her gaze rests on the ground.

Halfway through the Flood,

she makes a point of greeting each person with a smile, a wave, and possibly a polite greeting of some kind. Depending on how they react to the first two, anyway. No sign of liking her results in that person possibly being ignored from then on. She's not even a little apologetic about that, because she has! More important things to focus on! Like trying to investigate who this Jinx person is, and exactly how she wound up here.

That means close CR might get a network message, asking if she and Ekko can talk to them about something.