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Make the cream cheese filling:
In a medium bowl, beat together the softened cream cheese, powdered sugar, and vanilla extract until smooth and creamy. Set aside.
Make the chocolate cheese filling:
In a large mixing bowl, beat together the softened butter and cream cheese until creamy.
Gradually add the Hershey’s cocoa, mixing until well combined.
Slowly add the powdered sugar and vanilla extract, mixing on low speed. Add the milk, one tablespoon at a time, until the frosting reaches your desired consistency.
Assemble the Cake: