If you really wanna out a liar and come out clean on the other end, it's just so much documentation, emotional decision trees, how to phrase & frame & present things, etc. etc. etc.
Often, the compulsive liar will out themselves, create their own demise, or be enabled and further empowered by a toxic system that rewards such types (which if possible, you'd wanna get out of ASAP because prolonged exposure leaves lasting damage to anyone in such systems).
But, you acted as if there was something wrong with those who dont. And as if there was some higher value in enabling and playing along. I disagree with both.