The only advantage the AP gets is whether his known card favors the player or the house. After all, once the initial wager has been made, the hand will be played according to basic strategy. No specialized computer analysis was required. The work presented here is based on the combinatorial analysis I completed for the main game (see this post). Whatever the means, the edge the player can get is extraordinary. Knowledge of one player card can be gained, for example, by edge sorting, accidental exposure, card location, skilled cutting, shuffler issues, incidental marks on the cards and outright cheating. I often refer to this knowledge as 'top carding,' though the known card can be either player card.
This post considers yet another possibility: when the player knows one of the two cards he will be dealt in advance of placing his initial bet. Ultimate Texas Hold'em (UTH) is a rich source of advantage play opportunities.