Vegan Mushroom Pot Pie

Name: Vegan Mushroom Pot Pie
Prep time: 1 h 40 min
Total time: 1 h 40 min
Cuisine: American
Ingredients: 1 medium yellow onion; 2 medium carrots, peeled, divided; 2 stalks celery, divided; 3 garlic cloves, divided; 3 sprigs thyme, divided; 2 dried bay leaves; 1/2 c. dried porcini mushrooms; Kosher salt; 4 c. cold water; 1/2 c. plus 2 tbsp. extra-virgin olive oil, divided, plus more if needed; 8 oz. cremini mushrooms, quartered; 8 oz. shiitake mushrooms, sliced; Freshly ground black pepper; 2 tsp. freshly chopped rosemary; 2 tsp. freshly chopped sage leaves; 1/3 c. all-purpose flour; 1/2 c. dry white wine; 1 to 2 tsp low-sodium soy sauce; 1 1/2 c. fresh or frozen peas (if frozen, rinsed and drained); 1/4 c. freshly chopped parsley; 8 14"-x-18" sheets phyllo dough, defrosted if frozen; Flaky sea salt