N.Y. Comp. Codes R. & Regs. tit. 22, § 208.43
(c) There shall be paid to the clerk the following sums as a fee in an action or proceeding in the housing part:
(2) upon the issuance of a petition by a landlord for the removal of housing violations—$20.
(d) Summons.
(10) Venue.
(iii) An action or proceeding involving the following premises in which the New York City Housing Authority is a party shall be noticed and filed in the Red Hook Community Justice Center:
Red Hook East Houses
Red Hook West Houses
(f) Where a defendant defaults by failing to answer the summons or order to show cause, an inquest shall be taken before the court. If the defendant consents to a judgment imposing a civil penalty, no inquest is required to be taken, and judgment shall be entered on consent by direction of the court.
(g) Notice of trial.
Where all parties appear by attorney, any party may serve a notice of trial on the others, fixing a date for trial not less than five nor more than eight days after service of such notice, and shall file such notice with proof of service thereof at least four days before the date fixed for trial with the clerk of the housing part of the Civil Court, who shall thereupon place the case on the calendar for trial. Where the defendant appears in person, the clerk of the housing part shall fix a date for trial not less than five nor more than 15 days after joinder of issue, and shall immediately notify all the parties by mail of such date. If any of the parties has appeared by attorney, the clerk shall notify the attorney.