Hello and welcome. I think Steve has covered most of it. I have to say though, when you said she loves jumping in her ball, I also found some hamsters do enjoy it, but they are no longer recommended for the reasons mentioned

The ball can actually make a very useful taxi to a playpen area though! If she associates hopping in it with out of cage time, then you can let her hop in it, pop the lid on but then carry the ball to the area you're using as a playpen eg and set it down and take the lid off again. They sometimes go back to it to tell you they're ready to go back to the cage now.
If you don't have a playpen, you can use the dry bathtub initially - if you want to do some taming or socialising. You mentioned she bites. This is usually fear and it's possible she's had a bad experience with hands previously.
My last Syrian was like this when I got him, but after a couple of months of gradual taming in a playpen he didn't bite any more. Initially I wore thick gloves when offering food on the palm of my hand as it stopped me recoiling if he bit so it builds up confidence on both sides. Then I moved to no glove. I'd start with not trying to handle but just having your hand flat, palm upwards with some food on (possibly gloved) until she gets used to putting a paw on your hand while taking the food. Maybe for 2 or 3 weeks, a couple of sessions a week. She might want to come out more than that though if she's used to it. After that move onto just a stroke on the back with one finger (gloved if necessary). Just one little stroke. If she jerks round to bite then leave it 10 minutes or so and try again. But maybe only two attempts with each session. Eventually she will get used to being stroked by one finger and just accept it. The next stage is in the taming article on the home page - I'll link it below
As regards the current cage, it's possible it may be too tall if it has two levels and there can be fall risks if it's too tall. Hamsters can climb bars to the top to look for a way out, but they're not very good at getting down again so tend to just drop. For now have as much litter/substrate as you can in the base, so she has a soft landing if she drops and move anything hard under a shelf.
Are you in the US or Uk? Or elsewhere?
She is absolutely adorable by the way! She looks so alert and cute in that photo.
Hand taming a hamster can make life with your hamster very rewarding. Suddenly they will sit on you to be stroked or even go to sleep on you, and will be very easy to handle. It can take a bit of time and patience initially.
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