You're very good at repeatedly proving that you've completely misunderstood.
The Dark One is utterly incapable of winning the struggle. He believes that he can—and so do most characters in the story—but the possibility of that outcome is outside what is possible in the Pattern. He will never win, not in a million turnings of the Wheel. But he is still capable of bringing hardship to the world; that's the point.
Wrong again. The three ta'veren already are those things, because they were them before, in other turnings. This is not the first time for any of the three of them to be heroes; if anything, they're just finding themselves again by going through their many trials.
Does the Pattern push the ta'veren, or does the ta'veren change the Pattern? You're insisting it's the former, but it is both.
Jordan did describe WoT as a story about commoners becoming kings, and kings becoming commoners, but as it turn outs, it's more complicated than that.