If the report of a special selection board convened under this section, as approved by the President, recommends for promotion to the next higher grade an officer not currently eligible for promotion or a former officer whose name was referred to it for consideration, the Secretary concerned may act under
section 1552 of this title to correct the military record of the officer or former officer to correct an error or remove an injustice resulting from not being selected for promotion by the board which should have considered, or which did consider, the officer.