While imagining how the inside of the bunker might be, Katya's attention is taken when the footsteps of josephine bring with it the presence of another. Katya stares for a while when the woman doesn't match any memory. It's when the stranger's face reacts negatively to the presence of the team that Katya realizes this person is new, which means, they are associated with the Bunker.
Katya looks to David with a look of uncertainty, fingers spread as they are ready to tear into the woman but confused given that Josephine does not seem alarmed, in fact, it's clear now that she is leading the woman to them. If David's cloak remains up, Katya sees no reason to lose it now.
assuming that the cloak of shadows is still up, also, going off of the wiki, I didn't write a reaction to Cotouri's beast since it's listed as masked