Baked Dulce de leche double chocolate bread pudding

Name: Baked Dulce de leche double chocolate bread pudding
Ingredients: 300 gms sweetened condensed milk; For Pudding; 8 slices bread, cut into 1-inch cubes; 150 gms semisweet chocolate, finely chopped; 1 cup brown sugar; 1/2 cup sugar; 1/2 cup unsweetened cocoa; 1/4 teaspoon salt; 2 cups whole milk; 1 1/2 cups half-and-half (Combine ¾ cup half and half and ¼ cup water for every cup of whole milk you're substituting); 6 large eggs, beaten; 1 teaspoon coffee powder; 1 tablespoon vanilla extract; 1 tbsp butter for greasing