It's semi-automated at worse, automated at best
open browser
open inspector on console
copy paste, enter
wait
if nothing is deleted, might be a timeout from youtube, refresh page, back step 1
until completion
Eventually Youtube won't re-load automatically your Watch Later videos, so you might have to refresh the page.
When you have the 5k rows, you might have to do it multiple times.
Some videos might be deleted or in private, you have an option on the three dots "burger" menu to toggle them.
It will take you a while, the browser need to stay active otherwise the code of YT won't refresh the video list and sometimes it just doesn't, so you will have to refresh and re-execute.
Happy deletion!