She is most definitely a hatchling, and hatchlings are started on fuzzy mice and move on to small adult mice by the time they are ready to be taken home as pets.
I highly recommend getting a smaller enclosure for at least a month or two until you get her feeding regularly. A young ball python like this can go a little while without food, but they will approach starvation much sooner than an adult snake.
You can get a 6quart or 15quart tub at target, walmart, home depot.. any store that has storage stuff, for about $5-$10. I am very confident that the reason she is not eating is a combination of your temps being off, too big of an enclosure, and feeding a prey item that is too small.
If you can move her to a small tub setup, get her temps to 80* on the cool side and 90* on the hot side, and leave her alone for an entire week, I am willing to bet she would take a live hopper mouse with no hesitation.
give it a try
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