As there are currently bo other suggestions:
I know that Audiobookshelf has support for non-audio books as well and it will sync progress. I have not used this functionality and don’t know how good it works for ebooks.
No. Bing chatbot is chatgpt after all. It will oftentimes provide information that doesn’t match the sources it provides at all.
Don’t trust it blindly.
There have been $30 third party pencils that work perfectly fine, I guess they will be almost the same as this one.