Red Wine–Marinated Hanger Steaks with Flatbreads

Name: Red Wine–Marinated Hanger Steaks with Flatbreads
Ingredients: ½ lemon, thinly sliced; 3 sprigs thyme; 2 Fresno chiles, halved; 6 garlic cloves, smashed; ¾ cup dry red wine; ¼ cup olive oil; ½ teaspoon freshly ground black pepper; 1½ pounds hanger steak, center membrane removed, cut into 4 pieces; Vegetable oil (for grill); 1 shallot, finely chopped; 3 garlic cloves, chopped; 1 Fresno chile, chopped; 6 tablespoons unsalted butter; Kosher salt and freshly ground black pepper; 1 pound prepared pizza dough, room temperature, cut into 4 pieces; 2 tablespoons chopped fresh parsley