Well, Percy could get Triton as a companion. They might travel the seas together, with Triton showing Percy all the hidden places in the ocean. For example, they could visit an underwater city that's been forgotten by most of the world. Triton would know all the secret passages and the history of the place, which would be really interesting for Percy.
Another idea is that Triton could be a key to Percy unlocking a new level of his power. Since Triton is a son of Poseidon, he might have insights into the more divine aspects of water - related powers. Maybe he could teach Percy how to use water in a more offensive way, like creating powerful whirlpools that can destroy enemies. This would make Percy even more formidable in battles against his foes.
In such a fanfic, Percy might receive Triton as a sort of gift or ally. Maybe Triton would help Percy in his underwater adventures, like guiding him through the darkest parts of the ocean where no normal demigod could go. They could also team up to fight against some powerful sea monsters that are threatening the underwater world or the surface world connected to it.
In the fanfic, it could be that Percy gets Triton as a gift from Poseidon. Triton could be initially reluctant to be with Percy, seeing him as an upstart half - blood. But as they spend time together, they start to understand each other better. Triton might help Percy improve his control over water, especially in more complex and powerful ways. They could go on quests together, like finding a lost ancient sea artifact that has the power to either save or destroy the world of the sea gods.
One possible plot twist could be that Triton is not actually there to help Percy but is being controlled by an enemy to spy on him. So, Percy might think he has a new ally but in fact, he is being set up.
They could bond through a common enemy. Suppose there's a new threat emerging from the depths of the ocean. Percy and Triton would have to put aside any differences and work together. In the process, they learn to respect each other's strengths. Triton might be impressed by Percy's ability to adapt quickly to new situations, and Percy would admire Triton's vast knowledge of the ocean realm.
In the 'Percy Jackson Gets Paralyzed' fanfic, his relationships with other characters would surely change. His friends would probably be more protective of him. Percy himself might go through a period of depression at first, but then he'd start to adapt. He could become a strategist for the demigod team, using his knowledge of monsters and his past experiences to guide others in combat, even if he can't fight physically as he used to.
He might become an even more powerful figure. The trident could enhance his abilities to control water and perhaps give him new powers related to the sea. He could use it to defend his friends and fight against stronger enemies.
One possibility in this fanfiction is that the wings change Percy in some way. They might give him a new perspective, literally and figuratively. As he soars through the skies, he could see things he's never noticed before on the ground. This could lead to him discovering new secrets about the demigod world or even his own powers. He might also face new challenges, like dealing with air - based monsters or learning to fly in different weather conditions.
In the 'Percy Jackson Gets a Second Chance' fanfiction, he could form stronger alliances. Maybe he'd reach out to some characters he didn't fully trust before. He could also use this second chance to get closer to his family, like his mom, and protect her better from the threats of the mythological world. He might even be able to prevent some of the major disasters that happened in the original story.
In a fanfic, Percy Jackson might face some really tough opponents in the contest. He could use his water - controlling powers in creative ways, like making a huge water barrier to protect himself from attacks. Maybe he'd also team up with some unexpected allies he meets during the contest.
He might gain extraordinary powers. For example, he could get enhanced strength from Ares that allows him to defeat powerful monsters with ease. Or he might receive wisdom from Athena that helps him solve complex problems and outwit his enemies.