This exploit is one of two ways to reach the guards in the same area as the target before he spawns there.
Alternate Route
You cannot approach the British army directly without getting shot at and eventually desynching. This is because you cross an invisible line, triggering that scripting. However, you can bypass that line by veering to the right, past the memory wall. Have to be careful because you're almost far enough from the wall to desynchronize. After dropping off the cliff you can charge straight into the British troops.
Have fun taking out Pitcairn's guards in whatever way you want. There are just a few high levels guards to deal with, nothing a rope dart won't take care of. To make the target spawn, go the one of the checkpoints to progress.
Easy Fight
With no guards around, you are free to kill the target in more creative ways. I found that the ax special move doesn't kill him, but merely does damage and knocks John Pitcairn to the ground. The tradeoff is that this move is unblockable. The blunt weapon special move is less effective because the animation involves throwing the weapon, meaning you have to constantly pick it back up. The rope dart also does a little damage every time you use it to pull him to the ground.
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The Natives' Revenge
Killing Edward Braddock with a native's weapon, the tomahawk. Right before the target gets knocked off his horse you see a soldier air assassinated by a Native American. You have the option to take him out and pick up his tomahawk. Plant it somewhere along Edward's flee route to use during the chase. As an added challenge I assassinate Edward before he stops running.
I actually made a new game to see if Haytham can keep the tomahawk with an empty small weapon slot (on this save file I had previously picked up a dagger from an enemy). So I picked it up and was able to sheath it. The weapon icon even showed up, however the tomahawk had disappeared during and after the next scene. I find it baffling that you are able to keep a dagger but not a tomahawk as Haytham, unless the game developers had anticipated this.
Blooper
It took around five times to get the tomahawk kill right. Two mistakes I made were not running straight to the target and not placing the tomahawk where I can find it. In the case of my very first attempt I made both mistakes.
I thought if I just held pointing up during the end of the scene I would get a head start in chasing the target, but the game has you running in a different direction. You have to wait until the scene is over and then the game will have you facing Edward.
Didn't leave the weapon in a good spot. Since this was my first time trying this, I wasn't sure if it had just disappeared during the scene, so I went back to make sure it was actually there. Luckily Edward found it, making for a nice last-second disarm kill.
Dynamic Air Assassination
This is a challenge THB member Double Mcstab with Cheese attempted when he made his own Edward Braddock Variety Pack.
http://thehiddenblade.com/youve-forced-my-hand-and-blade-edward-braddock...
Pretty much air assassinating him during the chase (no fair using a horse) .
Jump in, the Water is Fine
Make Edward suicide himself. He can be tricked into climbing on a nearby fallen tree if he's close enough while chasing you. Once he reaches the edge, Edward is a sitting duck and has no choice but to jump off, even if it's to his death. This may take a few tries.
Turkey Shoot in a Well
Before it had been thought that throwing a character into a well would kill him, but the target is very much alive. You can attempt to air assassinate him, but go back into the default hanging-from-well position. At least you can still shoot him.
Attempted Human Bait
The wolves displayed some strange behavior. They will not attack you if you are being chased by the target. Even worse, they will run away when close enough to Edward, whether or not you are detected.
General Chaos Style Fight
Edward is unarmed, and therefore sucks at fighting (it would have taken him a little over two minutes to punch Haytham to death). I use this to recreate a comical fight scenario from General Chaos, a battle simulator for Sega Genesis. The game is all about soldiers shooting each other, but sometimes you will have two engage in a close combat fist fight until one has lost all his health. Every once in a while it will appear one soldier has won after knocking his opponent to the earth, but then the grounded soldier whips out a handgun and blasts away the would be victor.