@Wizcrafts They had needles I needed, however I still had problems with loosy screw and picking up loop by the hook.
I dont have any experience with patchers and I just starting my sewing journey after years of watching my mother doing this, but in my opinion shuttle hook does not go back far enough and starts moving forward before needle create loop that is big enough to be taken by the hook.
Unfortunately I forgot to record a video, because I focused on that tiny broken screw that took me good amount of time to unscrew it out. But I found from where loose come from... Hole in the base pin is badly worn, so probably even new screw pinion i already ordered will not gonna hold shuttle carrier good enough.
While theres whole variety of parts for 29k patchers on web, there is no single shuttle carrier that match my Singer 29k31, with part number #81953.
Any luck that shuttle carrier from different patcher may work here?
Other idea that comes to my mid is welding up the hole a bit, that pinion screw gonna sits there more tightly. Maybe any of you have some better ideas? Praying for the best