The conditions set forth in section 2208(j)(1)(B) of this title and subsections (a)(1) and (c)(1)(A) of section 2563 of this title shall not apply to a sale by a naval shipyard of articles or services to a private shipyard that is made at the request of the private shipyard in order to facilitate the private shipyard’s fulfillment of a Department of Defense contract with respect to a nuclear ship. This section does not authorize a naval shipyard to construct a nuclear ship for the private shipyard, to perform a majority of the work called for in a contract with a private entity, or to provide articles or services not requested by the private shipyard.