Batman: The Enemy Within: Episode 3 - Fractured Mask has several points where Bruce Wayne/Batman has to decide who to trust and how far to take that trust. The most obvious of these is Catwoman. Not only does Bruce have to decide how much to let her in on his current mission, but there are also opportunities to let her get even closer and possibly even open up to her in a way that Bruce can rarely do.
The power struggle between Waller and Gordon is also in full swing in this episode, and Gordon will confront both Batman and Bruce about the events happening in Gotham. Given the company Bruce has been seen with and some of the hard choices he has had to make, Gordon sees the billionaire as a growing threat that must be taken down. When he asks Batman to get involved, you will have to decide how to handle the request, and as always, those choices change how the character sees you.
Add to this mess the fact that Lucius' daughter, Tiffany, makes another surprise appearance and you have yet another opportunity to shape Bruce's relationship with the young engineer. How far you decide to keep her away, or bring her into your inner circle could have fairly drastic effects on how everything plays out, especially if and when The Pact's mole-hunt starts to steer towards Bruce, and Tiffany might be used as a leverage point against him.
There is one other relationship in flux during Fractured Mask, and that's the one with John Doe. John ends up coming to Bruce a couple of times for help, once for relationship advice with Harley and then again when the not-quite-Joker approaches Batman in a bold move. Like everything else in this game, how you approach these encounters could lead to some interesting results, but we still have two more episodes before we see exactly how it will all play out.