Prepare the Pizza Dough

1. Activate the Yeast:
   • In a small bowl, combine 1 cup (240 ml) warm water and 1 teaspoon (5 g) sugar.
   • Sprinkle 2¼ teaspoons (7 g) active dry yeast over the water. Let it sit for about 5 minutes until it becomes foamy.
2. Mix the Dough:
   • In a large mixing bowl, combine 2½ cups (300 g) all-purpose flour and 1 teaspoon (5 g) salt.
   • Make a well in the center and add the yeast mixture and 1 tablespoon (15 ml) olive oil.
   • Mix until the dough comes together.
3. Knead the Dough:
   • Turn the dough onto a floured surface and knead for about 10 minutes until smooth and elastic.
   • Place the dough in a lightly oiled bowl, cover with plastic wrap, and refrigerate overnight. This slow fermentation will develop the best flavor and texture.
4. Bring to Room Temperature:
   • The next day, take the dough out of the refrigerator and let it come to room temperature, about 1-2 hours before you plan to use it.

Prepare the Toppings

5. Caramelize the Onions and Mushrooms:
   • In a medium-sized saucepan, heat 1 tablespoon (15 ml) olive oil over medium-high heat.
   • Add 1 thinly sliced red onion (150 g) and cook until slightly translucent, about 5 minutes.
   • Add ½ pound (225 g) quartered crimini mushrooms and cook until they release their juices, about 5 minutes.
   • Stir in 1 teaspoon (5 ml) balsamic vinegar and cook for an additional 2-3 minutes. Remove from heat.

Assemble the Pizza

6. Preheat the Oven:
   • Preheat your oven to 500°F (260°C).
7. Prepare the Dough:
   • Punch down the risen dough and turn it out onto a floured surface.
   • Stretch or roll the dough into a ¼-inch thick oval shape.
   • Transfer the dough to a parchment paper-lined baking sheet.
8. Add the Toppings:
   • Sprinkle ¾ cup (90 g) shredded Asiago cheese over the dough.
   • Arrange 2 ounces (60 g) prosciutto slices on top of the cheese.
   • Spread the caramelized onion and mushroom mixture evenly over the prosciutto.
   • Sprinkle ¾ cup (100 g) crumbled Gorgonzola cheese over the vegetables.
9. Add the Eggs:
   • Pull out the top oven rack and place the baking sheet on it.
   • Crack 2 eggs into the center of the pizza before pushing the rack back in.
10. Bake the Pizza:
    • Bake for 10-12 minutes, until the egg whites are set and the cheese has melted and started to brown.

Serve

11. Serve Hot:
    • Remove the pizza from the oven and let it cool slightly before slicing.