Losing his second bout actually gives him the perfect excuse to slink away on his own, ostensibly to find somewhere more private than the waiting room to lick his wounds.

Instead, once he finds an empty bit of hallway, he pulls two potion vials from a pouch on his belt -stamina and magicka- and downs them, then quickly casts two spells: Invisibility to hide himself from sight and Muffle to deaden the sound of his footsteps.

That done, he starts carefully creeping down halls, peering around corners and the edges of doorways. All the while, he also listens: both for any sound that could be attributed to prisoners and for any indication that he's being pursued.