Hey, beautiful Wrasse and yes you are and BRA are both correct H. biocellatus are also commonly called Twospot Wrasse. Normally peaceable enough with the exception towards the more timid/passive Wrasse family ie: Leopards, Fairy and Flashers. They are great in controlling populations of Asterina stars and Pyramidal Snails but unfortunately also have a fondness for mini Brittles as well.
Cheers, Todd