3 cups all-purpose flour, plus more for dusting
1 teaspoon salt
1 1/2 sticks salted butter, cut into pieces
3/4 cup vegetable shortening or lard
1 whole egg, lightly beaten with a fork
1 tablespoon distilled white vinegar
1 cup white sugar
3 tablespoons brown sugar
1/2 teaspoon salt
1 cup corn syrup (light or dark)
1/3 cup melted salted butter
1 teaspoon vanilla extract
3 whole eggs, beaten
1 cup (heaping) chopped pecans