An advocacy group filed the suit last month, saying the law discriminates against people with disabilities.
Meanwhile, county lawyers say it should be dismissed because the plaintiffs suffered no harm as a result of the ban.
The law makes it a misdemeanor punishable by up to a $1,000 fine or a year in jail for wearing a mask in public.
It exempts people who cover their faces for health, safety or religious reasons.
At least one person has been arrested in Nassau County for wearing a mask in public.
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