I'm a Percy Jackson apologist, not because I think he has anything to apologize for, but because people in this fandom tend to blame him for every little thing that goes wrong in those books, even if he had little or zero control over it or even made the objectively good or reasonable choice.
"Percy choked Nico in the last Olympian"
Percy was imprisoned by Hades himself, after Nico had (although, of course, unwillingly) betrayed him, in a cell, he was convinced would suffocate him, had just woken up of a nightmare of Typhon wreaking havoc in the US, with the gods doing very little to slow him down, and didn't even know it was Nico, he was attacking at first. He only realized it was him, after he had him already pinned to the floor and he let him go only a few moments after that. For all Percy could have known, Nico could have been a servant of Hades sent to kill him.
"Percy forgot to free Calypso."
First of all, not Percy's responsibility. Not at all.
Second of all, he did free her.
Percy stood before all the Olympians and, after winning the war for them, one of his demands was specifically that she (and other gods) should be forgiven. Let me be clear, Leo would not have been able to free Calypso from her island without this specific request. There was no possible way for Percy to know, that the gods would be assholes about it and wouldn't inform her of that. Hell, he even knew, that Hephaestus visited her from time to time to chat, so there was no reason for him to doubt that he'd just tell her.
"Percy killed Michael Yew in the battle of Manhattan"
Percy probably saved the entire Apollo cabin on that bridge. And as a reminder, it was Michael's idea to destroy it in the first place. Percy even told him to run before that. His death was without a doubt a tragedy, but by no means Percy's fault.
"Percy treated Tyson shitty after finding out he was a cyclops"
When? Give me one example in the Sea of Monsters were Percy was actively being a jerk to Tyson. Not something he thought, but something he actually did. He wasn't a fan of Tyson being his brother and denied it to other campers, yes. But, as a reminder, camp half-blood, or ar least some members of it, started to bully Percy after Tyson got claimed. The one place he thought he belonged to treated his friend and him by association like shit.
Still, he was on Tysons's side. He even defended him in front of Annabeth, his best friend might I add, and didn't stop spending time with him. They were a team during the chariot race, and even while thinking that Tyson might be a liability on their quest to save Grover, Percy refused to leave him behind, because he feared, that Tyson would be blamed for their disappearance.
I could go on and on and on, because that kid (and he is a kid, at the end of heroes of Olympus Percy is not even 17 years old) gets blamed for so much it's exhausting, but I 100% believe that nothing that Percy Jackson did was ever wrong and there is absolutely nothing he has to apologize for. Prove me wrong.