At that age, a couple of tablespoons of food a day is enough. Seven ounces of food is more than my one year old eats in an entire day, it's simply way too much. Just because she finds it fun and will eat and eat and eat, doesn't mean it's ok for her. Since you say you understnd that your own hunger/fullness signals are not strong, then you can expect that if she's like you, she has no idea when to stop and is going on and on because it's fun and tastes different.
Also the pp's are right that the small amount of solids babies should eat during the 6-12 month period should be in addition to their breastfeeding or formula, not replacing it, that comes later after one year. The solid food is mostly water, it would be like replacing your regular meal with a bowl of soup - even if it's the same number of ounces of food, it's fewer calories and nutrients.
In the first year, the solids are for experiencing new tastes and textures, not primarily for nutrition. At 5-6 months, baby doesn't really need much - in fact new research is showing that breastfed babies can go 8-9 months before starting solids with no problem. Health professionals take a while to catch up to new research and change their recommendations, especially if they have a strong opinon that the way they fed their baby was the best, but the direction it is going as we learn more about infant nutrition, is to wait even longer and go slower.
Three meals a day doesn't usually come til sometime after the first birthday, if things are on the right track. With the addition of solids, slower is better.