It will be up to the Navy to try to free the USS Intrepid from its muddy berth in the Hudson River.

The agreement – hammered out after four days of talks between officials of the Intrepid Sea, Air & Space Museum and the Pentagon – comes after the floating carrier museum refused to budge Monday despite tugboats’ attempts to pull it from the mud at its Manhattan pier. The ship has rested in the spot for 24 years.

Still unknown is when the operation will be finished and the historic aircraft carrier towed to Bayonne, N.J., for repairs.

The carrier’s refurbishment is to include the opening of more interior spaces to the public, upgrading of exhibits and a bow-to-stern paint job. The pier is also to be rebuilt in the Intrepid’s absence.