Polenta:
2 cups whole milk
2 cups low-salt chicken broth
1 bay leaf
1 cup polenta (coarse cornmeal)*
1/2 cup (packed) coarsely grated Comté cheese
2 tablespoons (1/4 stick) butter

Mushroom Ragout:
3 tablespoons butter, divided
4 tablespoons extra-virgin olive oil, divided
1 1/2 pounds assorted wild mushrooms (such as oyster, crimini, and stemmed shiitake), thickly sliced
1/4 cup finely chopped shallots
2 teaspoons balsamic vinegar
1/4 cup low-salt chicken broth
1/3 cup crème fraîche or whipping cream
1/3 cup chopped fresh parsley, divided
1/3 cup (packed) coarsely grated Comté cheese