Prepare the Dough:

Mix warm water, sugar, and yeast in a bowl and let it sit until frothy, about 5-10 minutes.
In a large bowl, combine flour and salt. Add the yeast mixture and olive oil, and stir to form a dough.
Knead on a floured surface until smooth, about 10 minutes. Place in an oiled bowl, cover, and let rise for 1-2 hours, until doubled.

Preheat the Oven:

Place a pizza stone or inverted baking sheet in the oven. Preheat to 500°F (260°C) for at least 30 minutes.

Assemble the Pizza:

Stretch the dough into a 12-inch circle on a floured surface or parchment paper.
Spread tomato sauce over the dough, leaving a border for the crust. Distribute mozzarella evenly across the pizza.
Divide the pizza into four quadrants. Place artichokes in one section, olives in another, mushrooms in the third, and ham or prosciutto in the fourth.

Bake the Pizza:

Transfer the pizza (on parchment if using) to the preheated stone or sheet. Bake for 10-12 minutes, until the crust is golden and cheese is bubbly.

Garnish and Serve:

Remove the pizza from the oven, drizzle with olive oil, and garnish with fresh herbs if desired. Slice and serve hot.