So, this film came out in 2012...

Well, you sit down with the relevant people who have authority to debrief you on the declassified info. I mean, they didn't need to come up with a story, just adapt the events into a script. Add that to a tight shooting schedule and before you know it, it's ready for post and then you're done.

The completed script was originally about the failed attempt (back then) to find bin Laden. After he was killed, they did a re-write.

Since this film is not a documentary, they can simply make up any filler material to flesh out the final product.