Easy Raspberry Tart

Name: Easy Raspberry Tart
Ingredients: 1 1/2 cups all-purpose flour; 3 tablespoons granulated sugar; 1/4 teaspoon fine salt; 10 tablespoons cold unsalted butter (1 1/4 sticks), cut into small pieces; 5 to 7 tablespoons ice water; All-purpose flour, for dusting; 1/2 cup granulated sugar; 4 teaspoons cornstarch; 1/2 teaspoon finely grated lime zest (from 1 medium lime); 1/8 teaspoon fine salt; 1 pound fresh raspberries (not frozen); 1 tablespoon freshly squeezed lime juice; Water; 2 teaspoons coarse-grained sugar, such as Demerara or turbinado (optional)