The 10th generation Paperwhite is known as the Paperwhite 4 (PW4). I have one and I jailbroke it many years ago. I’ve even accidentally uninstalled the jailbreak and was able to re-jailbreak it.

Read all of this very carefully. Make sure that your firmware version is 5.14.2 or earlier.

Then read (again, carefully) about this jailbreak method and follow the installation instructions.