Cheesy Mixed Pasta Casserole with Mushrooms

INGREDIENTS

1/2 cup

Porcini mushrooms, dried

1/2 lb

Shiitake mushroom

1 lb

Short pasta shapes such as fusilli, mixed

4 tbsp

All-purpose flour

Kosher salt and freshly ground pepper

6 tbsp

Butter, unsalted

4 1/2 oz

Fontina cheese

2 tbsp

Heavy cream

3 cups

Milk

1/2 cup

Parmigiano-reggiano cheese

1/2 pound white button mushrooms, stems trimmed and caps quartered