One Chance to Run

This is my first Maze Runner fanfic so no flames please.
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By the brilliant idea of a god or goddess (Hera, no doubt) Percy, Nico and Annabeth were sent on a quest. The Nico that Gaea and the Twin Giants caught wasn't the real Nico, he's actually lingering in Nyx's domain, unconscious and with few memories. As Percy and Annabeth fall, the same happens to them. Percy, Nico and Annabeth are sent to the future, to the time of the sun flares that practically ripped the world to pieces. To the Glade.
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Percy and Nico arrive at the same time, a week before Chuck. Annabeth arrives in Group B (I don't know what their group is like, so, it won't be in her point of view until later maybe) the same time as them.
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They are immune and immortal, with no other memories beside their names, the fact that they are friends (but Percabeth in a relationship is remembered as well), the fact that they are different and that they cannot be controlled by WICKED.
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Ω They only have one chance to run Ω