In large shallow straight-sided pan, such as cast iron 3.5 or 4-quart braiser, place water, cream, milk, and seasoning. Stir until well combined. Add butter, pasta and veggies, ensuring pasta is completely covered by liquid. Bring to a boil and cook until the pasta is al dente and liquid has nearly evaporated, about 10 minutes. Remove from heat and stir in half the parmesan cheese. Divide pasta into serving bowls and top with remaining cheese. Serve immediately.