A former crew member for an NYC tourist cruise is suing for $6 million after his middle finger was amputated following an on-the-job mishap.

Jose Castillo’s life-altering incident happened June 8 on Pier 40 at 353 West St., where he was working as a line catcher, handling the ropes used to moor vessels, according to the lawsuit, filed this week in Manhattan Supreme Court.

Castillo claims in the suit a captain’s negligence caused him to lose the middle finger on his right hand.

Jose Castillo’s finger had to be amputated after a work mishap, he says in the $6 million lawsuit. Liberty Cruise/Facebook

As he was loosening the lines on the departing Freedom Boat, “the captain . . . suddenly, and without any warning, negligently and recklessly sped away from the dock while [he] was still hol

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