Being unaware of pinchflat, I kinda ended up making my own.
Started off with a little app, the entirety of which was a button that, when pressed, took the link om my clipboard and downloaded the video into my Jellyfin folder. Then I got tired of having to keep it all updated across several different computers I use, so I turned it into something that runs in a docker container on my home server, that I can access through anything in my tailnet. Works beautifully.