Ingredients

• 5 ounces Taleggio or Brie cheese, rind removed

• 1 cup loosely packed fresh flat-leaf parsley leaves, finely chopped

• 3 tablespoons finely chopped shallot (from 1 shallot)

• 2 teaspoons grated lemon zest (from 1 lemon)

• 1/4 cup plus 1 tablespoon extra-virgin olive oil, divided, plus more for greasing

• 1/2 teaspoon kosher salt, divided, plus more to taste

• 1 tablespoon unsalted butter

• 1 (8-ounce) package cremini or white button mushrooms, very thinly sliced (3 cups)

• 12 prosciutto slices (about 8 ounces)

• 12 large eggs

• 1/4 cup heavy whipping cream

• Black pepper, to taste