Vegan Cream of Mushroom and Wild Rice Soup

Name: Vegan Cream of Mushroom and Wild Rice Soup
Ingredients: 1 tablespoon olive oil; 1 large yellow onion, diced; 2 celery stalks, diced; 2 carrots, diced; 1 pound mushrooms, diced (I used a 50/50 mixture of baby bella and shiitake); 2 cloves garlic, minced; 1/2 cup white wine (optional); 1 teaspoon crushed thyme; 1 teaspoon dried rosemary; 1 bay leaf; 4 cups low-sodium vegetable broth; 1 cup water; 1 cup wild rice; 1 cup full fat, canned coconut milk or cashew cream (https://food52.com/recipes...); 1 pinch black pepper, to taste; 1 splash white wine or sherry vinegar