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Try memorizing Petes path and where he lookes around.
The strategy I use is staying far enough from Pete so Roxas' range of vision ends in front of Pete. Then when Pete stops and looks around I quickly get out of the way and then quickly look back at him(otherwise you'll have to start over).
It's a very tedious process and you will likely have to do it over again; but with a little patience and trial and error, you should have it down in no time.
Tailing him closely may also be a good strategy as seen in this random video of the mission. Be careful that you don't get too close to Pete tho.