Now they’re in deep ship.

A group of baby-faced arsonists burned and gutted Sleepy Hollow’s beloved historic lighthouse just a year after its multi-million dollar renovation, police said Wednesday.

Four young suspects hopped a locked fence leading to the charming red-and-white landmark at around 3:30 a.m. Saturday then smashed a window and climbed into the 142-year-old structure, Westchester County Police Public Information Officer Kieran O’Leary told The Post. 5

The twisted firebugs then allegedly lit parts of the bottom floor, which is set up as a museum, on fire and damaged antique furniture and books — leaving behind smoldering ash, broken glass and more than $100,000 in damage, officials said.

“Setting a fire and trashing a place is bad enough. It’s also one of the cou

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