Our default framework for relationship therapy is Emotion-Focused Therapy (EFT), developed by psychologist Susan Johnson from attachment theory. The idea is easy to say and harder to do: the fight on the surface is rarely the real fight. An argument about who gets Saturday night is usually a quieter question underneath ("do I still matter to you?"), asked in a way that's easy to miss.
With a couple, EFT maps one cycle: one partner pushes for closeness, the other pulls back, round and round. In a throuple several cycles can run at once, and they feed each other. When B withdraws from A, A may lean harder on C, and now C feels caught in the middle of something they didn't start. A big part of the early work is making that loop visible, so no one person ends up carrying the blame for it.
From there, sessions slow things down enough for each of you to say the vulnerable thing, the fear rather than the complaint, and for the other two to answer it instead of defending. That takes practice, and it helps to have someone steering. EFT doesn't assume a particular relationship structure, which is a large part of why we use it. More on the approach in what is Emotion-Focused Therapy?