Place the dried mushrooms in a bowl and cover with ¾ cup warm water. Let them soak for 20 minutes until softened and rehydrated. Drain the mushrooms, reserving the soaking liquid for later use.
Heat the oil in a Dutch oven over medium heat. Add the onion and garlic and cook gently for 3–5 minutes, stirring occasionally, until they’ve softened and become translucent.
Add the rehydrated mushrooms, peppers, and paprika to the pot. Season with salt and pepper, then cook, stirring frequently, for about 5 minutes until the vegetables begin to soften.
In a small bowl, mix the cornstarch with the stock until smooth and lump-free. Pour this mixture into the pot along with the artichokes, wine, reserved mushroom soaking water, and tomato paste.
Stir everything together well and bring the mixture to a boil. Once boiling, reduce the heat and let it simmer gently for 10–15 minutes until the vegetables are tender and the sauce has thickened slightly.
Taste the goulash and adjust the seasoning with additional salt and pepper if needed. Serve hot in bowls with a generous dollop of crème fraîche or yogurt on top.