The white mask is headwear that is found in the game files of Fallout: New Vegas, but was cut from the actual game. It seems to be a placeholder for the White Glove Society mask. The white mask is only obtained through the console commands.
Glowing one, Fallout Wiki, Fandom
Combat armor, reinforced, Fallout Wiki
Gordon, The Offical Sodor Fallout Wiki
Cultist headpiece - Independent Fallout Wiki
White raider skull gas mask, Fallout Wiki
White Legs hide armor, Fallout Wiki
White Glove Society attire, Fallout Wiki
Mask of Confidence
My character's face is so jacked up the white glove society mask