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Step 1
Heat the butter over medium-high heat in a large, heavy pot like a Dutch oven. Add the onion, celery and carrots and cook gently for 5 to 8 minutes, stirring often. Do not brown them. Sprinkle a little salt over the veggies as they cook.
Step 2
When the vegetables are soft, stir in the chopped porcini and tomato paste and allow everything to cook for 3 or 4 minutes, again, stirring often. When the tomato paste begins to turn the color of brick, add the ground venison, the porcini soaking water and the broth. Bring to a simmer.
Step 3
Allow this to cook down over medium-low heat. Take your time here and resist the urge to do this over higher heat. Stir from time to time. When the liquid has mostly evaporated, add the wine and repeat the process. When that has mostly evaporated, add the milk, nutmeg and black pepper and stir well. Bring back to a simmer and add salt to taste. Let this cook until it is the consistency you want.
Step 4
When you add the milk to the sauce, bring a large pot of water to a boil. Add enough salt to make it taste like the sea. Once the ragu has thickened, add the pasta to the salty water and cook until its al dente.
Step 5
To serve, put the pasta in a large bowl and add a healthy ladle of sauce. Toss to combine. Give everyone their portion, then top with a small ladle's worth of sauce. Grate the cheese over the top and serve.