Blackberry Caramel Tart

Name: Blackberry Caramel Tart
Ingredients: 2/3 cup sugar (4.6 oz / 130g); 2 tablespoons light corn syrup (1.4 oz / 40 g); 1/3 cup heavy cream (2.8 oz / 81g) at room temperature; 1 teaspoon vanilla extract; 1/4 teaspoon Diamond Crystal Kosher Salt; 18 ounces (510g) blackberries (about 3 1/2 cups), rinsed and thoroughly dried; 1 teaspoon unflavored gelatin powder (0.11 oz / 3g); 1/3 cup almond flour (1.4 oz / 40g); 1 cup all-purpose flour (4.6 oz / 130g) plus more for hands; 1/4 cup powdered sugar (1oz / 30g); 1/2 teaspoon Diamond Crystal kosher salt; 1 stick unsalted butter (4 oz / 113g), cut into 1/2-inch pieces, chilled; 1 large egg yolk (0.6 oz / 16g); 1/2 teaspoon vanilla extract