Well, in some fanfictions, Percy's experiences with monsters actually help him with the bullies. He has faced far scarier things than school bullies. So, he kind of sees them as just another nuisance. He may not even take their taunts seriously because he knows his own worth. He's a hero in the making, and these bullies are just small - time annoyances compared to the quests he's been on.
In some fanfictions, Naruto might cope by finding a hidden talent. For example, he could discover he's really good at a particular ninja art that others haven't noticed. This newfound skill gives him confidence and makes the bullies less intimidating.
At first, Percy would probably be angry and frustrated. Losing an eye is a huge deal. But he's also a determined person. He would start to practice with his remaining senses more intensively. He'd learn to listen more carefully for approaching enemies, feel the vibrations in the ground or water more acutely. He might also seek out some magical or medical help within the demigod world. There could be potions or spells that might help him either regain some vision or enhance his other senses to make up for the loss.
Percy often gets angry at first. He's not the type to just take it lying down. But he also feels a bit confused as to why Luke is being so mean. Sometimes he tries to stand up to Luke, but other times he just withdraws into himself, feeling sad and alone.
Percy could use his combat skills. If the bullies physically attack him, he can defend himself without seriously harming them. He's trained at Camp Half - Blood after all. Another way is to use his wits. For example, if they mock his dyslexia, he can come up with smart comebacks about how his different way of thinking gives him an advantage.
Percy copes by holding onto his hope. He knows that his life on the streets is just a temporary situation. He spends his days looking for clues about how to get back to his normal life. He also tries to stay positive by remembering the good times he had at Camp Half - Blood. He tells stories of his adventures to the other homeless people, which not only helps him but also gives them some entertainment and hope.
He might cope by throwing himself into his work or hobbies. For example, if Percy is into some kind of art or sport, he could focus all his energy on that. This would be a way for him to distract himself from the pain of being cheated on.
She might focus on her studies more. Since Annabeth is really into knowledge, she could pour all her energy into her schoolwork, like spending extra hours in the library or on research projects.
In Percy Jackson bullied fanfics, a common theme is the exploration of Percy's emotions. He might feel anger, sadness, or determination as a result of the bullying. Another theme is the contrast between the magical world he belongs to and the harsh reality of being bullied. It often shows how his demigod powers or his friends from the demigod world can help him face the bullies. Additionally, there can be a theme of transformation, where Percy grows from the experience of being bullied and becomes a more confident and capable character.
One possibility could be that in the fanfiction, Percy is bullied at his new school in the mortal world because of his dyslexia and ADHD. Other demigods might also face similar situations. Maybe the bullies don't know their true identities but sense that they are different and pick on them.
He might focus on his training. Percy could use the time alone to practice his sword - fighting skills or improve his control over water. This would not only keep him occupied but also make him more powerful.