Ube Pull-Apart Bread - Good Food And Treasured Memories

Ingredients

• 454 gm frozen, grated ube, thawed (Can be found in Filipino grocery stores.)
• 400 ml coconut milk
• 300 ml sweetened condensed milk
• 1/2 cup (110 gm) unsalted butter
• 1/4 cup lukewarm water
• 3 Tbsp sugar
• 2 1/4 tsp active dry yeast
• 1/4 cup unsalted butter
• 1/4 cup milk
• 1/2 tsp pure vanilla extract
• 2 eggs, room temperature (one for egg wash w/ 1 Tbsp water)
• 2 1/2 cups PLUS 2 Tbsp flour
• 1 1/4 tsp salt
• 100 gm Edam cheese, grated, divided