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Step 1
To make the polenta. Pour the veggie broth (or water) and milk into a medium size saucepan and bring to a boil. Lower the heat to medium and slowly whisk in the polenta. Cook, stirring frequently, until the polenta is soft and thick, about 15 to 20 minutes. Keep warm and then just before serving, stir in the fontina cheese and butter, season with salt and pepper. If the polenta seems a little thick you can add a tablespoon of butter or extra milk.
Step 2
In a medium skillet over high heat, add 2 tablespoons butter. When the butter is melted, sprinkle in the mushrooms in a single layer. Don't stir them! Let them sizzle until they have caramelized on the bottom, about 2 minutes. When the bottoms are caramelized, toss them once and season with salt and pepper, to taste. Continue to cook without stirring for about 5 minutes. Add the remaining butter, the garlic and thyme and cook for about 10 seconds. Add the balsamic vinegar, and simmer until the mushrooms are glazed with the sauce.
Step 3
Cook eggs as desired.
Step 4
To assemble, spoon the polenta into bowl, dollop with a spoonful of marinara (or just leave out if this is not your thing), add the mushrooms and top with an egg. Garnish with black pepper, chopped parsley and the goat cheese. Eat!