Polenta With Mushrooms

Name: Polenta With Mushrooms
Ingredients: 3 tbsp. olive oil, divided; 1 lb. mixed mushrooms (such as oyster, shiitake, maitake, beech, cremini), torn, quartered or sliced; 2 cloves garlic, finely chopped; 1 red chile, thinly sliced; Kosher salt and pepper; 2 c. whole milk; 2 tbsp. unsalted butter; 4 oz. instant polenta (about 3/4 cup); 1/4 c. finely grated Pecorino Romano cheese; 1/4 c. finely grated Parmesan cheese, plus more for serving; 1/2 tbsp. red wine vinegar; 1/4 c. flat-leaf parsley, chopped; 2 c. baby kale