The President shall provide for the presentation of the Medal of Honor Flag designated under section
903 of title
36 to each person to whom a medal of honor is awarded under section
491 of this title. Presentation of the flag shall be made at the same time as the presentation of the medal under section
491 or
498 of this title. In the case of a posthumous presentation of the medal, the flag shall be presented to the person to whom the medal is presented.