Cheesesteak Stuffed Milk Buns

Name: Cheesesteak Stuffed Milk Buns
Prep time: 3 h
Cook time: 1 h
Total time: 4 h
Cuisine: American
Ingredients: 1 lb ribeye, shaved; 2 medium-sized green bell-peppers, sliced thinly; 1 medium yellow onion, diced; 1 tsp kosher salt, to taste; 1/2 tsp cracked black pepper; 1/2 tsp vegetable oil, as needed; 1 1/2 tsp granulated garlic; 2 1/2 C (298g) bread flour + 2 tbsp (14g) bread flour, divided, plus more for dusting; 1/2 C (113g) whole milk + 3 tbsp whole milk, divided; 1/4 C skim milk; 1/4 C sugar; 4 tbsp unsalted butter, melted; 3 tbsp water; 1 tbsp instant yeast; 1 tsp fine sea salt; 1/4 tsp cracked black pepper, to taste; 2 large eggs