How To Cope With The Stigma of Quitting a Second PhD for a Third one?
First things first, if you have suicidal thought, then you need help. The fact that you tried one psychoanalyst, and that did not work for you, does not mean that the entire mental healthcare system is useless for you. Finding a therapist and a therapy that works for you can be long process of trial and error. Don't give up.

As to your question: You can't remove the past, all you can do is focus on making a better future. 

If you want to reflect on your past experience to try to learn from it: I notice that you externalize the blame a lot. In the way you present your story there are three person: you are a top-student who wins prices, while the two others (the advisors) are narcissistic sociopaths or jealous and childish. That is probably not the whole story, and sticking to it will probably prevent you from learning from your experiences. However, now may not be the right time to process this. The only advise I can give you is: find a therapist that works for you and discuss this with her or him. 

If you worry about how to present your story to others, then it is this black and white presentation that raises lots of red flags with me, not the fact that this is your third attempt.