This update error maybe the nag when it's not wanting to work with root but try this first :
Amazon Prime Update apk
If you have Magisk installed, Goto settings>magisk hide and select prime video before opening the prime app for the first time.
If you've already opened it then just clear the apps data and reboot.
As far as I know, amazon prime video will not work on a rooted device. I do not use prime but one of the other guys who know about it will be happy to advise you.
Due to these apps performing a root/bootloader check they won't function properly (some not at all)
Peacock TV and Netflix can be troublesome with root also.
The reason I asked what version of root, or if your unlocked is because magisk hide ( magisk manager apk) can sometimes get the apps to work (depending on firmware)
If you really want to use these apps properly you're best Installing them on a non-modified device.
Regards