medium spaghetti squash, halved lengthwise, seeds removed
extra-virgin olive oil, divided
Kosher salt
Freshly ground black pepper
boneless, skinless chicken breasts
cloves garlic, finely chopped
whole milk
low-sodium chicken broth
heavy cream
finely grated Parmesan
Pinch of crushed red pepper flakes
shredded mozzarella
Chopped fresh parsley, for serving