Bring a large pot of generously salted water to boil. Add the pasta and cook it according to the package instructions until al dente. Ensure you reserve two cups of pasta water before you drain it.
In a large skillet or saucepan, heat the olive oil over medium heat. Add the minced garlic and sauté for about 1 minute until it becomes fragrant.
Stir in the tomato paste and cook for 2 minutes, allowing it to darken slightly.
Pour in the vodka and let it cook for about 2 minutes, allowing the alcohol to evaporate.
Lower the heat and stir in the heavy cream.
Stir in the Parmesan cheese, red pepper flakes, dried oregano (if using), black pepper, and a little smoked salt or sea salt to taste
Add the butter and allow it to melt into the sauce to add richness and smoothness.
Add the cooked pasta and toss until it's coated with the creamy sauce. Add pasta water a tablespoon at a time until the sauce reaches the right consistency.
Serve immediately, topped with fresh parsley and grated Parmesan.