Okay this was fun for the last one so I'm going to do the Gods of Our Mothers next. There's a lot of side characters, so for this, I'm just going to focus on the main public facing team.
Clemency would just be freaked out and annoyed in equal measure. She fights HUMANS, not ghosts, and this is way above her pay grade. My girl would be all bravado while quietly and internally having a goddamn meltdown. It would only show with how jumpy she is, and the entire scene would end with her having one too many jumpscares and accidentally blowing out multiple walls and making an exit. RIP that house. Lilian would be calm, cool, and collected, focused on keeping track of everyone and not letting anyone get separated while figuring out how to appease the ghost enough to let them out. She's definitely the mediator in this situation. Deliverance...... Deliverance would be insufferable. Just flat out nightmare purposefully antagonizing the ghost for kicks. Since she can somewhat make herself intangible by breaking down herself into a telekinetic wave of flowers, she'd literally be playing chicken with the ghost. My girl has no regard for her personal wellbeing, and will leaving the ghost wishing they died with a fucking flamethrower.
Lilian deserves so much better than this disaster duo. Poor thing.