In a large mixing bowl, stir together the water, yeast, and sugar. Let sit until foamy, about 5 minutes. Add 2 cups of the flour, salt, and 2 teaspoons of the oil, stirring with a heavy wooden spoon to incorporate. Turn out onto a lightly floured surface and knead until smooth and pliable, yet slightly sticky, 5 minutes, adding more flour as needed 2 teaspoons at a time to prevent from sticking to the board.

Lightly oil a large mixing bowl with the remaining 1/2 teaspoon oil. Place the dough in the bowl and turn to coat with the oil. Cover with plastic wrap and set in a warm, draft-free place. Allow the dough to rise until nearly double in size, 1 to 1 1/2 hours.

At least 45 minutes before baking pizza, put a pizza stone on the bottom rack of the oven and preheat the oven to 500 degrees F.

While the dough is rising, marinate the shrimp. In a large bowl, combine the shrimp, tequila, lime juice, crushed garlic, cilantro, lime zest, pepper flakes, kosher salt, and cumin. Let marinate for no more than 1 hour. Remove the shrimp from the marinade and pat dry.

In a skillet, cook the sausage over medium-high heat until the fat is rendered and almost completely cooked through, about 4 minutes. Remove and drain on paper towels. Let cool.

On a lightly floured surface turn out the dough and lightly work into a large flat disk. Let rest for 10 minutes. Pat and stretch out the dough to a 12-inch round, turning and lifting to make about 1/8-inch thick.

Dust a baker's peel or bottom of a baking sheet with the cornmeal. Carefully transfer the dough onto the peel and reshape as necessary without pressing down hard (so the dough will come away easily). Working quickly, spread cilantro pesto across the dough to cover, leaving a 1/2-inch border around the edge. Sprinkle the grated cheese evenly over the top, then arrange the shrimp, bell peppers, onions, and cooked sausage over the top. Dot the pizza with the goat cheese.

Line up the peel over the baking stone and slide to release the pizza. (Alternately, bake on the baking sheet.) Bake until the dough is crisp and golden brown and the cheeses are melted and bubbly, about 8 minutes. Transfer with the peel to a large cutting board. Let sit for 5 minutes.

Garnish with chopped cilantro and green onions, to taste. Cut into slices, and if desired, drizzle with additional pesto sauce.