A 21-year-old socialist and unpaid former NYC Council intern who claimed she was axed after demanding she and her peers get paid $32 an hour with full health benefits — and plans to sue the Council — was born into wealth. Mina Farahmand — who willingly interned for free last year to help get fellow silver-spoon socialist Zohran Mamdani elected mayor – is the daughter of a prominent surgeon and grew up in a palatial six-bedroom, four-and-a-half-bathroom home on 30 acres in Colville, Wash. Her father, Mehrdad Farahmand, is a general-surgery specialist at Providence, the largest health care provider in Washington…