This disguise stuff is so fucking stupid.
His friend isn't doing anything except transporting him to and from the dungeon, any government or private agency can just track them to realize that the secret woman is a guy. They don't have any security or anti-espionage at all, so anyone who sees this guy enter the vehicle from his home address and a woman leave the vehicle and the guy disappear will be able to at least connect the dots. This is such a low level of disguise, they're not evening trying to cover their tracks.
So far the author just glazes over it, but it's so obvious that journalists or corporations won't just not follow you because you ask nicely.