Cheesy Mushroom Pizza

Name: Cheesy Mushroom Pizza
Ingredients: Cornmeal, for baking sheet; Flour, for surface; 1 16- to 18-oz ball pizza dough, left at room temperature 30 min.; 4 oz. thinly sliced provolone cheese; 1 3-oz package oyster mushrooms, trimmed, separated, any large mushrooms torn; 1 3-oz package baby shiitake mushrooms, sliced 1/4 inch thick; 1 large shallot, sliced; 2 tbsp. olive oil; Kosher salt and pepper; 2 tsp. fresh thyme; 1/2 c. fresh ricotta cheese; 1 tsp. grated lemon zest; 1/2 c. grated pecorino Romano cheese, divided; 1/4 to 1/2 tsp. red pepper flakes; Chopped parsley, for serving