There are some comments here that are borderline spoilers that have been edited. Nothing that is egregious or seems intentional, but please always always err on the side of caution with potential spoilers.
Well the "fact" that Batman is dead is mentioned in the trailer.
I naturally assumed that this game would continue the story but that might not be the case.
In any case, if a superhero is considered to be dead, you should always be wary.