
2 pounds green beans, trimmed
1 tablespoon olive oil
8 ounces shiitake mushrooms
2 shallots, finely chopped
4 cloves garlic, minced
2 teaspoons chopped fresh thyme
1 teaspoon salt, divided
¼ cup butter
⅓ cup all-purpose flour
2 cups 2% milk
1 cup chicken stock
8 ounces Parmigiano-Reggiano cheese, shredded
¼ cup dry sherry
1 (3.5-ounce) package crispy red peppers