Game Timeline?

[The.Grand.Nagus]

What time period is the game supposed to be set in?

It cant be before the first movie, since Elizabeth and Will know who Jack Sparrow is in the game, and they didnt meet him him until the first movie.

It cant be before the second movie(between 1 and 2), since Jack needs help getting the Pearl back, which he was the captain of at the end of the first movie and at the beginning of the second.

It cant be before the third movie(between 2 and 3), since Jack was "dead" at that time, and he is in game.

It cant be after the third movie since Will isnt the captain of the Flying Dutchman and Elizabeth's father is still alive(or at least she thinks he is, but she finds out he is dead in 3).

So when exactly is this game supposed to take place?