There is no chance Shepard is dead.
That trailer was framed within a Cerberus database if you go to the official site. Cerberus is a subversive "humanity first" renegade organisation whos goal is complete human domination of the galaxy, often doing more harm to our race than good.
It is likely that either Cerberus genuinely believes Shepard is dead by coincidence, or because Shepard has tricked them into believing it.
It is also possible that in some way Shepard is working with Cerberus and it suits them both to have him dead.
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