1 medium butternut squash

1 cup water

1/2 of an onion

1 head of garlic

1/4 tsp cayenne pepper

1/4 tsp ground nutmeg

1/4 tsp smoked paprika

1 tsp Dijon

1 tsp salt, plus more to taste

2 1/2 cups whole milk

9 oz extra sharp white cheddar cheese, divided

4 oz Gruyère cheese, divided

optional for extra cheese pulls: 2 - 3 oz low moisture mozzarella

1/2 cup breadcrumbs or panko

1 Tbsp salted butter

half of the above shredded cheese