She’s a baby testing her limits and learning what’s okay. Redirection to what you want her to do works best. When she playfully bites, tell her no sternly but in a normal voice. No yelling like you mentioned. Yelling can turn biting into a fun game of what noises can the human make! After you tell her no, give her a toy or a cuttlebone. Cuttlebones worked best for my birds. Redirect her chewing to the toy or cuttlebone. It’s essentially telling her “you can’t chew on me, but you can chew on this”. Place the toy in front of where she was just biting and be consistent. Even if she decides not to play with it, she’ll learn she‘s not allowed to chew on you. It took each of my birds about a week to catch on. Works great. Just occasional reinforcement every now and then.
The reason putting them in the cage when they bite isn’t recommended is because it can backfire. Instead of teaching them “don’t bite or you’ll go into the cage”, you’re actually teaching them “bite me when you want to go back to your cage”. Going back to the cage isn’t a punishment because they like their cage. It’s their home. You want them to like their cage.