Hi Irene123, I'm so sorry you and your daughter have been dealing with this for five+ years. I agree it would make sense to consult an experienced naturopath.
I'll share just a couple of thoughts. I saw your post on PANS (where you said you posted in error and switched to this forum). You mentioned "We don't really use any scented things except for her deodorant that has some lavender smell and Dove shampoo/bodywash. . . . When we notice something triggers tics, we try to avoid like hairspray and pool chlorine." It's really good that you have been able to observe that some chemicals are triggering tics and you avoid them. Usually when someone is chemically sensitive, the more you can avoid potentially troublesome items, the better. Also, when something is used frequently, like a body wash or shampoo, it can be hard to know if it is having a negative effect. That's in contrast to getting in a swimming pool and seeing that the pool chemical increased ticcing. I would suggest you try to go unscented with everything in the home, from laundry detergent to dishwasher soap, to personal products. And also use natural cleaning products, like those from 7th Generation. And avoid plug-ins, fabric softener liquid or sheets, etc.
Also, when it comes to diet, it is possible that she is eating something every day that she is sensitive to. You mentioned eggs and whole wheat, which are common culprits for people with food sensitivities. A naturopath should be able to help identify them or advise you.
One test that is often recommended is from Great Plains Laboratory, which has just recently changed it's name to Mosaic Diagnostics. https://mosaicdx.com/resource/great-plains-lab-is-now-mosaic-diagnostics/ This test might be very helpful, but needs to be ordered through a practitioner, like a naturopath or a doctor. https://mosaicdx.com/test/ige-food-allergy-test/
(If you already looked into food reactions like that, sorry, I missed it.!) I did see that your daughter has a limited diet because she likes it that way. I know change is difficult, but if she is eating something that is causing a reaction, it's important to address that.
I hope you will let us know how things are going, especially with the start of the school year. Wishing you the best!!