In Firewatch, Time progresses according to the narrative. Some things will happen obviously at certain times of the day, yet the time will progress. The time doesn't move according to real life.
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The game gives options for player choice creates the responsive world, and while there are various different opportunities, there aren't branches of trees that allow different endings or discovering a failed attempt at discovering the mystery.
How Henry chooses to react to Delilah and things in the world, are constant and will enhance the game.