ZD, why do you repeat the same mistake? There is no legal distinction between private and government run facilities. Read the statute.
Separate facilities or hours for men and women is not considered discrimination because it is a reasonable policy because of privacy/modesty issues, as evidenced by the existence of a place such as Lucille Roberts.
OTOH, if it was called Shaindle Roberts, there would probably be lawsuits by the anti-Semites and self hating Jews.
Here is the law:
N.Y. Executive Law, Article 15
Human Rights Law
2. (a) It shall be an unlawful discriminatory practice for any person, being the owner, lessee, proprietor, manager, superintendent, agent or employee of any place of public accommodation, resort or amusement, because of the race, creed, color, national origin, sexual orientation, military status, sex, or disability or marital status of any person, directly or indirectly, to refuse, withhold from or deny to such person any of the accommodations, advantages, facilities or privileges thereof, including the extension of credit, or, directly or indirectly, to publish, circulate, issue, display, post or mail any written or printed communication, notice or advertisement, to the effect that any of the accommodations, advantages, facilities and privileges of any such place shall be refused, withheld from or denied to any person on account of race, creed, color, national origin, sexual orientation, military status, sex, or disability or marital status, or that the patronage or custom thereat of any person of or purporting to be of any particular race, creed, color, national origin, sexual orientation, military status, sex or marital status, or having a disability is unwelcome, objectionable or not acceptable, desired or solicited.
(b) Nothing in this subdivision shall be construed to prevent the barring of any person, because of the sex of such person, from places of public accommodation, resort or amusement if the division grants an exemption based on bona fide considerations of public policy; nor shall this subdivision apply to the rental of rooms in a housing accommodation which restricts such rental to individuals of one sex.