Although Percy emphasized in tcotg that Annabeth is not a good singer, she is definitely a musical nerd and loves karaoke. We can see in the book how much she wanted to sing the duet with Percy, how much she wanted to sing a romantic song with him (mentioning shallow) and I think that's her true essence. Percy doesn't know much about musicals, but everything he knows comes from her. She is a dedicated Broadway fan and I'm sure Percy has already gifted her with tickets to watch her favorite plays.
Saw Hamilton last night, immediately after the show I turned to my partner and said, "If you ever cheat on me you BEST not write a fucking pamphlet about it."
I was in the Hunger Games and the only other person alive was Lin-Manuel Miranda, and he was freestyle rapping everything he said. He killed me with a spear while singing something from Hamilton.