N.Y. Suffolk County Tax Act § 60
The conveyance made pusuant to a judgment in any action brought as herein provided, shall vest in the purchaser all right, title, interest, claim, lien and equity of redemption in and against the premises sold, of all the parties to the action, and of all persons claiming under them, or any or either of them, subsequent to the filing of a notice of the pendency of the action, or whose conveyance or encumbrance is subsequent or is subsequently recorded, except subsequent taxes and assessments, and sales on account thereof, and except taxes and assessments which were liens on the premises at the time of the filing of a notice of pendency of the action, but for the nonpayment of which no sale had been had prior thereto and any sale on account of such taxes, and all such parties and persons shall be barred and forever foreclosed by the judgment in said action of all right, title, interest, claim, lien and equity of redemption in and to the premises sold, or any part thereof, except as aforesaid. The judgment in any such action may direct the cancellation or satisfaction of record of taxes, assessments or other claims of any of the parties to the action
N.Y. Suffolk County Tax Act § 60