The agent doesn't get the same tools as a 4 player game. In fact, nothing from the 4 player rules apply to the 5 player game; that's why they list some of the same rules in each section of the book.
Rules you'll notice are NOT in the 5 players section are those indicating the agent gets more equipment and HP.
So the agent only gets the equipment and hp that he would receive in the 3 player game? I see...that makes more sense.