What you are saying is that Verin, in a fit of genius and through some fortunate or unique events that are never even hinted at having existed or through some knowledge that is always said to not exist managed to arrive at a miraculous discovery she is never suggested to know, and this allowed her to be an incredible idiot.

Which of these scenarios seems the more likely to you?

Contrary to everything we know from the books, Verin, through sheer brilliance and a lifetime devotion to finding ways to break the Oaths (I thought she devoted her lifetime to studying the Black Ajah?) made a marvelous discovery that no other Aes Sedai has ever made in two thousand years based on some hypothetical events that exist only for the sake of reaching this conclusion, which enabled her to act uncharacteristically stupidly by killing herself when she could simply have used this miraculous discovery that was researched specifically for this purpose and to which she had devoted her last seventy years, ensuring said discovery will never be revealed to anybody, including the readers.

Or,

Verin chose the best solution she had based on the knowledge available to her.