1. In the bowl of an electric mixer, whisk to combine beer, 2 tablespoons olive oil, sugar, salt, and yeast. Fit bowl on electric mixer fitted with a dough hook, mix until incorporated, 1 to 2 minutes. Slowly add flour, and mix until dough is fairly stiff, about 10 minutes.

2. On a lightly floured work surface, knead dough until smooth and elastic, about 5 minutes. Brush the inside of a large bowl with remaining tablespoon olive oil; transfer dough to bowl, turning once to grease top. Cover bowl with plastic wrap, and leave in a warm place until dough has doubled in size, about 1 1/2 hours.

3. Punch down dough, and transfer to a clean surface. Using a bench scraper or sharp knife, divide dough into quarters; keep covered with plastic wrap.