In a medium bowl, combine the warm water, yeast, and sugar, then let stand for 5 minutes until foamy and activated.
Stir in the flour, kosher salt, and 2 tablespoons olive oil until a shaggy dough forms, then knead on a floured surface for 3-4 minutes until smooth and elastic.
Place the dough in an oiled bowl, cover with a damp towel, and let rise in a warm place for 1 hour until doubled in size.
Preheat your oven to 475°F and lightly brush a baking sheet with olive oil while the dough rises.
Punch down the risen dough and divide into 4 equal pieces, then roll each piece into a 6-inch round on a floured surface.
Spread 2 tablespoons crushed tomatoes onto each dough round, leaving a 1/2-inch border, then top with minced garlic, oregano, and mozzarella pieces.
Bake for 10-12 minutes until the crust is golden and the cheese is bubbly and slightly browned around the edges.
Remove from oven and immediately top with fresh basil and a sprinkle of sea salt before serving.