In the 'Percy Jackson Held Captive by Luke' fanfiction, how does Percy manage to escape?

There's a possibility that a new, unknown and powerful monster could be the captor. This monster could be a hybrid of different mythological creatures, created by some dark magic. It has heard of Percy's fame and power and wants to keep him captive either to study him, or to use his power to become even more powerful itself. It could have a lair in a hidden and dangerous place, like an underground cavern filled with deadly traps.

One plot idea could be that Percy is held captive by an ancient, forgotten sea deity who wants to use Percy's powers for its own dark purposes. Maybe this deity has the ability to manipulate water in ways that even Percy hasn't seen, and he has to find a way to outwit it using his wits and the limited power he can access while captive. Another idea is that he's held captive by a group of rogue demigods who believe Percy is a threat to their new world order. They try to brainwash him into joining their side.

Percy could call upon his friends from Camp Half - Blood to assist him in saving the Padawans. Together, they could form a powerful team against the foes.

Luke in Percy Jackson fanfiction can play various roles. He could be a reformed villain, seeking to make amends for his past actions. This gives a new arc to his character that wasn't fully explored in the original books.

Luke might hold Percy captive to gain some sort of leverage. Maybe he wants to use Percy as a bargaining chip with the gods or Camp Half - Blood. He could be thinking that by having Percy in his hands, he can force the others to give in to his demands.

In fanfiction, Percy could discover some ancient and powerful magic that allows him to create a massive explosion. He might find a magical artifact near the mountain that, when activated, triggers an explosion powerful enough to blow up the whole mountain.

If Luke were good, it could completely change the dynamics of the story. Maybe he'd become a powerful ally instead of an antagonist.

Well, in some fanfictions, Percy might control ice through a new power bestowed upon him by some mysterious god or entity. Maybe he discovers he has the ability during a quest when he's in a really cold and magical place.

Chiron, the centaur mentor at Camp Half - Blood, might get involved in the rescue. He has a vast knowledge of the demigod world and could use his wisdom and connections to track down Luke and free Percy. Also, some of the other demigods at the camp who look up to Percy might volunteer to help, like Clarisse. She may not like Percy much, but she wouldn't want a fellow demigod to be in the hands of Luke.

In many fanfictions, Percy might use his water powers in a unique way. Maybe he combines his control over water with his sword fighting skills. He could create a giant water vortex to disorient Kronos and then strike with Riptide while Kronos is off - balance.