Unlike taking it at some other time when she wouldn't still have work to do later; 'not at work' sure does describe, uh, about ten minutes of her last three days. They engineered a lie they don't have an infinite reserve of to excuse her absence and would've needed to engineer another
It's the wrong thought, and she tucks it away quickly; the primary point of the punishment was that her superiors are better than her, have more experience operating under these conditions and are absolutely competent to handle them, and that she is wrong, when she thinks she's right and they're mistaken. If they think she should've manufactured another excuse some other time then they're right, even if she doesn't see why.
Anyway, yes, they can so be notified, and could've been notified an hour ago, Carissa is fine.