A Long Island-based distillery sued LIV Golf in federal court Monday, alleging the golf league's use of "LIV" branding for alcoholic beverages and apparel infringes on its registered trademark. Long Island Spirits Inc. sued LIV Golf in the U.S. District Court for the Eastern District of New York, accusing the league of violating federal and New York trademark laws. The craft distillery is asking the court to enjoin LIV Golf from using "LIV" in connection with the sales of alcohol or apparel and to pay punitive damages for the league's "willful and intentional unfair competition and misuse of the LIV Marks." "The LIV brand is beloved by consumers but is now threatened by Defendant LIV Golf's infringement, and LIV brings this action to protect its brand, preserve its reputation, and recover for the damages it suffers each day that LIV Golf persists in its infringement," the lawsuit said.…