In large pot or Dutch oven, heat the olive oil over medium heat. Once the oil begins to shimmer, add the mushrooms and cook for about 5 minutes, or until most of their juices have been released.
Add the onions, carrots, and celery, and cook for 4-5 minutes, or until onions are semi-translucent.
Add the garlic, rosemary, thyme, pepper, tomato paste, and soy sauce, and cook for 2-3 more minutes, until the herbs are fragrant.
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Add the flour and stir until fully incorporated. Add the wine and stir until mostly absorbed.
Add the potatoes, vegetable broth, and bay leaves, and bring to a boil. Reduce the heat to medium-low and simmer for 45 minutes, stirring occasionally, until the potatoes are tender and the stew has thickened.