To improve this method, stick the needle in at an angle, and then lift straight up and out (not along the angle of insertion, or lever it out. This way you can get it to come out even if it is poorly or not adhered to the needle.
To my mind, that could work, the barb might not be helpful since the material might not flow quite as readily back over it as soft tissue does, but you could get an angled insertion and pretty easily get direct upwards lift with it maybe.
You might be able to fit a fish hook in down the side between the broken stem and the switch, and use the barb to pull out the stem.
To improve this method, stick the needle in at an angle, and then lift straight up and out (not along the angle of insertion, or lever it out. This way you can get it to come out even if it is poorly or not adhered to the needle.
Additionally, if it’s a needle you don’t care about, give it a pass with sandpaper. Rougher texture will make it adhere better.
Fishing hook?
To my mind, that could work, the barb might not be helpful since the material might not flow quite as readily back over it as soft tissue does, but you could get an angled insertion and pretty easily get direct upwards lift with it maybe.
You might be able to fit a fish hook in down the side between the broken stem and the switch, and use the barb to pull out the stem.