The stairs, which have been closed since April, will not reopen until Aug. 25, the MTA said.
The MTA says its landlord failed to make repairs to the entrance of the Dyckman Street A train station.
A train service was suspended in both directions from Dyckman Street to Inwood-207th Street during evening rush hour Thursday due to a fire.
The suit alleges the MTA ignored a regulation requiring they make the station accessible to the disabled.
Critics say the MTA is violating the Americans with Disabilities Act by opting not to install elevators during construction.
The MTA urged riders to use the A train during construction, but said it will not add trains.
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