She will eat
She has you very well trained. She is eating though claim she doesn't so she's eating but since you keep making a huge deal out of it and giving her the attention she wants, she won't stop.
You make the food, sit it in front of her and largely ignore her. No bribing, no rewards, no nothing. She has to eat what she is served, all of it or she can't leave the table. Tell her only once then ignore all whining and crying, out right ignore her. Once she realizes she's not getting attention for being a brat she will eat like normal
You coddling her and making a big deal over it and catering to her and rewarding her will lead to an eating disorder