Shrimp Fajitas with Mushrooms and Corn

Name: Shrimp Fajitas with Mushrooms and Corn
Ingredients: 1/2 teaspoon smoked paprika; 2 teaspoons packed light brown sugar; 1 1/2 teaspoons chili powder; 1 1/2 teaspoons ground cumin; Kosher salt; 1 1/2 pounds medium shrimp, peeled and deveined; Juice of 2 limes, plus wedges for serving; 2 tablespoons extra-virgin olive oil, plus more for the grill; 8 ounces shiitake mushrooms, sliced; 4 ears of corn, kernels removed; 1 poblano chile pepper, seeded and chopped; 2 tablespoons unsalted butter; 3 scallions, chopped; 8 to 12 flour tortillas; Crumbled Cotija cheese, for topping