In the bowl of a stand mixer fitted with the dough hook, stir together the warm water, yeast, and sugar until well combined. Whisk in ½ cup flour until smooth. Let stand, uncovered, in a warm, draft-free place until bubbly, about 15 minutes.

Stir in the olive oil, salt, and remaining 2½ cups flour until a shaggy dough forms. With the mixer on low, knead the dough for 3 minutes. Cover with a towel and let rest for 10 minutes. (You can also mix this with a wooden spoon and knead by hand.)

Knead again, until a smooth and elastic dough is formed, about 2 minutes more. Place the dough in a lightly greased large bowl. Cover with a damp tea towel or plastic wrap and let rise in a warm, draft-free place until doubled in size, about 1 hour.

Set an oven rack in the lowest position of the oven, and place a pizza stone, heavy baking sheet, or large cast-iron skillet. Preheat the oven to 475F.

Punch down the risen dough and turn it out onto a lightly floured surface. Divide into 8 equal pieces, and shape into balls. Cover with a towel and let the dough balls rest for 10 minutes.

On a lightly floured surface, roll each into a 6-inch circle. Working one or two at a time, place dough circles on the hot stone; bake until puffed, about 2 minutes, flip and continue baking until pale and puffed, about 2 minutes more. Repeat with the remaining dough. Serve warm or at room temperature.