Combine ghee, garlic, heavy cream, wine, and milk in a saucepan over medium heat. Bring to a simmer; stir in Parmesan a little at a time when it is all incorporated the add egg yolk, whisking constantly to prevent the eggs from scrambling, afterwards add Asiago cheese a little bit at a time (be sure to whisk continuously to prevent sticking and burning). Finally add in the spices and give it a good stir to combine. If the mixture is too thick, add more milk/heavy cream as needed.