If you can't find a replacement, or a donor movement, I guess it might be possible to silver solder the broken one back together.
You might have some luck here -> https://www.oldswisswatches.com/watch-parts-branded/cortebert-calibre-movement-and-spares/cortebert-688-cortebert-689/
it is an automatic movement, Chinese. I would also like to practice removing the jewels on automatic movements and replacing them with new. i have an eta 2824, 2892 and 7750.I'm just curious, something i want to learn. I don't really come across pocket watches, just the modern automatics (if that makes a difference?). Any advice appreciated.