The National Trust for Historic Preservation urged the high court to let a pause take effect. An appeals court ordered that the administration halt construction by Friday.
The party’s chances may depend on Abdul El-Sayed, who beat Senate Minority Leader Chuck Schumer’s preferred candidate and has criticized his support for Israel.
The ship’s crew lost access last month to drinkable water, running toilets and air conditioning, as the fleet sees heavy use by the Trump administration.