Fortunately, you do not need to go through the game multiple times to snag this trophy
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As you are making your way through Panchea, you will hear calls for help from Taggert and Sarif. Taggert is fairly simple to find (server room), and Sarif is a bit trickier (Machine shop I believe), but the point is they are not marked, so having the see through walls augment is helpful here.
There are also signs on the walls that point in their general location.
Anyway, talk to both of them, and then you have access to all 4 ending options, which is basically giving you the choice of whose message you want to relay out into the world (Darrow's, Sarif's, Taggert's, or your own via sinking Panchea). Get to Zhao (who went bananas in a serious way), take her down and move to the room behind her. Eliza will be on the screen, and you will see 3 switches in front of you and a hallway to your left leading to the 4th switch.
BEFORE YOU CHOOSE, MAKE A NEW SAVE. Also, wait until Eliza is done talking so you don't have to waste time listening to her prattle on about whatever she was talking about
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Next, just simply select an option. You can skip the cinematics if you want (although I found them interesting) and after that the credits will roll. Watch the credits to the end for another trophy.
After that, simply reload your last save, and select a different option. Rinse and repeat until you see all 4 and this trophy will pop.
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