Three men were stabbed in Crown Heights, Brooklyn early Monday morning — hours before the notoriously violent West Indian American Day parade was set to kick off, according to police.

A 32-year-old man and 23-year-old man were stabbed in the neck and a 36-year-old was stabbed in the face near Carroll Street and Utica Avenue around 5:48 a.m., cops said.

EMS responded and rushed all three to Kings County Hospital, were the 32-year-old man remains in critical condition.

The 23-year-old man and 36-year-old man were listed in stable condition, according to police.

No arrests have been made, cops said.

The stabbing happened just blocks from the…

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