The notorious “battle royale” at a fashion-model-clogged Meatpacking District club in February has left Monaco’s baby-faced “Prince” Pierre Casiraghi literally scarred for life, he’s griping in court papers. “Lacerations of my left cheek required surgical intervention and has [sic] resulted in scarring,” Casiraghi proclaimed in an affidavit against accused royal jaw-buster Adam Hock, who’s back in Manhattan Criminal Court today on misdemeanor assault charges. Casiraghi told prosecutors that he and three members of his playboy posse, including Stavros Niarchos, were minding their own business at the Double Seven when they were attacked for no reason by beefy businessman Hock. “