Mix warm water, active dry yeast, and 1 tbsp sugar together
Let rest for 10 minutes
Add ⅓ cup sugar, whisked egg and egg yolk, flour, salt, and melted butter to the yeast mixture
Mix until smooth, adding 1 tbsp flour at a time if dough is too sticky
Mix softened butter, dark brown sugar, cinnamon, and instant coffee granules together for the filling
Roll out dough and spread filling evenly
Roll up and cut into rolls
Place rolls in baking pan and let rest for 30 minutes
Pour heavy cream over risen rolls
Bake at 350F (177C) for approximately 30 minutes
Mix cream cheese, softened butter, vanilla, espresso powder, milk, and powdered sugar together for frosting
Frost cooled rolls with coffee cream cheese frosting
