He also throws in her face in every argument her mental breakdown. When confronted with her upset over his lie, he breaks up with her, again throwing her breakdown in her face.

He won’t own up to his lie, like she is saying, and broke up with her because she was upset? Then throws her breakdown in her face yet again, which is clearly a deflection to place the blame on her when it’s his lie?

I would personally walk away. These are all red flags. He seems like a lying jerk.