Strawberry Galette

Ingredients

• 3/4 cup heavy cream
• 1/3 cup loosely packed fresh basil, chopped
• 2 tablespoons sugar
• 3/4 cup mascarpone cheese
• 2 cups vegetable oil
• 18 to 24 large fresh basil leaves
• sugar, for sprinkling
• 2 1/2 cups all-purpose flour, plus more for surface
• 1 1/8 teaspoons salt
• 1 teaspoon sugar
• 8 ounces (1 cup) cold unsalted butter, cut into small pieces
• 1/3 cup plus 2 tablespoons ice water
• 1 pound strawberries, hulled
• 1/4 cup plus 1 tablespoon sugar
• 2 teaspoons cornstarch
• 1 large egg yolk
• 1 tablespoon water
• 1 tablespoon cold unsalted butter, cut into small pieces