Chicken cheese garlic bread buns Recipe

Ingredients:
Dough:

1 cup whole wheat flour
1 cup all-purpose flour
1/2 cup warm milk
1 tsp sugar
1/2 tsp salt
3 tbsp softened unsalted butter
1½ tsp instant dry yeast

Filling:

1 block cream cheese+salt and sugar to taste
Grated cheddar cheese for topping
Cooked chicken

Butter mixture:

1/2 cup melted butter
1 large egg OR 1 tbsp cornstarch+ 3 tbsp water
2 tbsp milk
1 tbsp dried parsley
salt & pepper to taste
2 tbsp mayonnaise (optional)
Garlic butter for basting bun