So I'm not much help because I have an iPad 11 pro and the 2nd generation Apple pencil; and don't know anything about the iPad 8 as I sat stated in your other post. However, I bought these pens/pencil knockoffs in Amazon for my kids to use with their school issued iPads to help with their homework and they work great. I'm a huge fan of the carbon fiber tip. I even have one of these for my iPad. I don't use the paper like brand protector. I bought a cheap one from Amazon and have zero issues.

Stylus Pen for iPad with Palm... https://www.amazon.com/dp/B07W6CW3QS?ref=ppx_pop_mob_ap_share