Heat a large heavy bottomed pot over medium-high heat, cook chorizo.
Add the diced chilis, salt, black pepper, and cumin. Stir to combine
Once the chorizo is cooked, reduce the heat and add the milk.
In a small bowl combine the cold water and the corn starch. Stir until the mixture is smooth.
Add the corn starch mixture to the pot and stir to combine.
Continue stirring the mixture over medium heat until it's thickened.
Reduce the heat and add the cream cheese, stir until the cream cheese is melted and combined.
Add the cotija cheese and stir to combine.
Remove from the heat add the Oaxaca cheese and stir until all the cheese is melted.
