In the bowl of a stand mixer, whisk together 4 cups (508 grams) flour, sugar,’ yeast, and salt by hand. Add 1 cup (240 grams) warm water, warm milk, and oil; using the paddle attachment, beat at low speed until a shaggy dough forms.
Switch to the dough hook attachment, and beat at low speed until dough is smooth, elastic, and slightly tacky, 12 to 14 minutes; add up to remaining ⅓ cup (42 grams) flour, 1 tablespoon (8 grams) at a time, if dough is too sticky.
Lightly oil a large bowl. Place dough in bowl, turning to grease top. Cover and let rise in a warm, draft-free place (75°F/24°C) until doubled in size, 45 minutes to 1 hour.
In a medium bowl, stir together cheeses. Stir in Sautéed Spinach, lemon juice, salt, and pepper. Refrigerate until ready to use.
Line 2 baking sheets with parchment paper.
Punch down dough, and let stand for 5 minutes. Turn out onto a lightly floured surface, and divide into 6 portions (about 155 grams each). Shape 1 portion into an oval; press flat. (Keep remaining dough covered to prevent it from drying out.) Roll into a 9×5-inch oval, flouring surface as needed. Place on a prepared pan. (Make sure oval is still 9×5 inches.) Repeat with remaining dough, placing 3 ovals on each prepared pan. (It is OK that they are close together; after final shaping, they will be far enough apart for baking.) Cover and let stand for 15 minutes.
Spoon cheese mixture onto ovals (about 112 grams each). Spread cheese mixture, leaving a 1-inch border around edges. Twist and roll dough on each side of cheese mixture toward center to form a crust, slightly overlapping filling. Pinch ends together; twist ends, and slightly tuck under to form a boat shape. Cover and let rise in a warm, draft-free place (75°F/24°C) until puffed, about 20 minutes.
Preheat oven to 375° (190°C).
In a small bowl, whisk together egg and 1 teaspoon (5 grams) water. Using a pastry brush, brush dough with egg wash.
Bake until dough is golden, 22 to 26 minutes. Using the back of a spoon, make an indentation in cheese mixture. Place 1 egg yolk in each indentation. Bake until edges of yolks just start to set, 2 to 4 minutes more. Garnish with butter and parsley, if desired. Serve immediately.