First, stop any 'bite' rules for now. This has turned into a power struggle with both of you vying for control.
My guess, since she's eating well at other meals (and are you serving relatively the same thing at other meals) is that dinnertime is turning into a 'habit' of her fussing and arguing with her. In short, I think it's the power struggle which is really at the heart of it and less about the food.
This is my take on it, but if it was my kid, I'd just keep putting out the usual food you knew she liked before (even breakfast/lunch options which work) and then just let her walk away from the meal if she chooses to be disagreeable. If not, then let her sit with you. If she's in the habit of engaging you in this power-struggle way, letting her leave the table puts her back in charge of herself. She has no one/nothing to struggle against. This means that if and when she comes back to the table to eat, she will do so more willingly.
That said, leave her dinner on her plate and put it in the fridge, as is. If/when she comes back to you saying "I'm hungry" you can just pull it out and let her have it. No negative comments, just "glad you want to eat, here you go".
I'll say this from my own experience: at this age, kids are horribly temperamental about food. When my son was around 2.5/3 he'd request one thing and then want another. I just ignored the complaining. "This is what we have for dinner. Tomorrow we can have (desired item)." I'll also say that, as a mom with a lot of dietary restrictions, there are shortcuts to making a separate plate for Kiddo. He doesn't care for fish, which we eat a lot of, so I might hard-boil 6 eggs at a time, which he loves (yolks removed, of course-- kids this age often don't like the texture). I cannot eat raw veggies and he doesn't like cooked, so I get all of them sliced up and he eats his as he likes and I cook up mine. He gets a ploughman's plate about 3-4 nights a week: hard-boiled eggs, some cheese, whole grain bread with butter, veggie slices, black olives and some apple slices. Lots of friendly choices on the plate.
Overall, you don't want to get yourself backed into a corner, mom. Consider what's important-- making her eat or neutralizing the power struggle? I think offering some more 'lunch' type items on the plate-- even one-- is worth it in the short term. The point is that you want her to come to the table feeling that she's invested in eating and that this is pleasant. Keep in mind that forcing some foods can cause aversions. There are certain foods I would have come to love in my own time, but for the fact that I was forced to eat them. Now my gag reflex kicks in and keeps me from enjoying them as an adult. Pretty sad.