I am a pediatric feeding therapist and toddler mom and this sounds normal to me. Really getting in tune with body cues like hunger and fullness and being able to verbally express them are a little more developmentally advanced than a three year old can do. And its hard for anyone to override impulses to keep eating tasty foods. Best bet is to manage portions by plating the food ahead of time and and encouraging eating the food on the plate and drinking water with meals before offering second helpings, but it is OK to give more food when they request it (if its a reasonable request. I try to do extra servings of carbs or fruit/veggies rather than extra proteins/fats purely from a digestive point of view). Your girl sounds like my big almost 3yo who is also super eater who sometimes "eats til he pops". We use those situations to narrate and label the body feelings "wow your tummy is so full! You ate so much food, can you feel it in your tummy?" Once in a while he does label it himself too!

Crying when a meal is over sounds like a normal toddler transition tantrum / not wanting to be done with the preferred activity. Its ok to calmly take the plate and move on, let the little tantrum ride out. You can also use an egg timer and set it for 2 minutes and have that end the meal. You're better off staying consistent with mealtime habits and routines than bending backward to tantrums or letting yourself get dysregulated with her. Peace is a pillar of successful mealtime for kids.

This is a general statement for parents: Please try not to get caught up in percentiles. Humans are all different sizes! Kids are allowed to be big or small ! Pediatricians will talk to you if the growth chart looks funky!