Prep Veggies: Peel and chop the potatoes, carrot, onion, and garlic.
Boil Veggies: In a large pot, bring water to a boil. Add the potatoes, carrot, onion, and garlic. Boil for about 15 minutes or until everything is soft and fork-tender. Drain.
Cook Pasta: In a separate pot, cook pasta according to package directions until al dente. Reserve ½ cup of pasta water, then drain the rest.
Blend Sauce: In a high-speed blender, add the cooked vegetables, plant milk, nutritional yeast, mustard, miso, olive oil, smoked paprika, turmeric, salt, and pepper. Blend until smooth and creamy. Taste and adjust seasoning if needed.
Combine Pasta and Sauce: Return pasta to the pot. Pour the sauce over the pasta and stir to coat. Use reserved pasta water to loosen the sauce if it’s too thick.
Serve or Bake: Serve immediately, or transfer to a baking dish, sprinkle with breadcrumbs, and bake at 375°F (190°C) for 20 minutes for a crispy golden top.