Step 1: Prepare the Dough - In a large mixing bowl, combine the warm water and instant yeast. Let it sit for about 5 minutes until it becomes frothy. Add the room temperature water, olive oil, bread flour, and salt to the yeast mixture. Stir with a wooden spoon until a shaggy dough forms.
Step 2: Knead the Dough - Turn the dough out onto a floured surface and knead for about 8-10 minutes until it’s smooth and elastic. If the dough is too sticky, sprinkle a little more flour as needed. Once done, form it into a ball and place it in a lightly oiled bowl. Cover with a damp cloth and let it rise in a warm place until doubled in size, about 1 hour.
Step 3: Sauté the Toppings - While waiting for the dough to rise, melt the unsalted butter in a skillet over medium heat. Add the sliced cremini mushrooms and red onion. Sauté for about 5-7 minutes until the mushrooms are tender and the onions are translucent. Set aside to cool.
Step 4: Preheat the Oven - Once the dough has risen, preheat your oven to 475°F (245°C). If you’re using a pizza stone, place it in the oven to heat as well.
Step 5: Shape the Pizza - Punch down the risen dough and turn it out onto a floured surface. Divide it into two equal pieces for two pizzas or keep it whole for one large pizza. Roll out the dough with a rolling pin to your desired thickness, about 1/4 inch for a thin crust.
Step 6: Assemble the Pizza - Transfer the rolled-out dough to your baking sheet or preheated pizza stone. Spread the pesto evenly over the dough, leaving a small border around the edges. Top with the sautéed mushrooms and onions, followed by the shredded provolone cheese and grated Parmesan.
Step 7: Bake to Perfection - Place the pizza in the oven and bake for about 12-15 minutes, or until the crust is golden and the cheese is bubbly and slightly browned. Keep an eye on it to avoid burning.
Step 8: Serve and Enjoy - Once baked, remove the pizza from the oven and let it cool for a minute. Slice it up and serve hot. Enjoy the delightful flavors of your homemade Portobello Pesto Pizza!