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. “It’s certainly a recognizable scar, and it’s permanent,” Casiraghi lawyer Edward Kratt told The Post’s Laura Italiano. “I’ve seen it in person.” But Hock’s high-powered defense lawyer, Joseph Tacopina, snorted, “This would be the first time in the history of medicine that a superficial scratch needed surgical intervention. Fortunately for Adam, there is cross-examination under oath.” Meanwhile, what had been described to cops as a fractured jaw has been downgraded in Casiraghi’s affidavit to a “possible fractured jaw.” Hock counters that he is the victim of four-against-one violence and suffered bruising and a tear in his shoulder when one of the posse flung a magnum of vodka at him. He’ll appear before Judge Michelle Armstrong today for a decision on pretrial motions. Hock is asking to dismiss the assault charges that concern three of Casiraghi’s pals, who have claimed no injuries beyond “bruising.”