Sweet Pea and Black Pepper Agnolotti

Name: Sweet Pea and Black Pepper Agnolotti
Ingredients: One 5.3-ounce wedge Asiago cheese; 1 stick (8 tablespoons) unsalted butter; 1 leek, white and light green parts, thinly sliced; 1 shallot, thinly sliced; Kosher salt and freshly ground black pepper; One 10-ounce bag frozen peas, thawed; Zest and juice of 1/2 lemon; 2 tablespoons fresh mint leaves, chopped; 1 tablespoon extra-virgin olive oil; 3 large eggs plus 1 yolk; 2 cups all-purpose flour, plus more as needed and for dusting (see Cook's Note); Kosher salt