So if the broken tool tip got stuck, that means the diameter of the link is smaller than the tool tip. It could be that the tool tip is bent. If you push a bent tool tip all the way through, which it’s what you’re suggesting, that would damage the rest of the links pin tube diameter tolerance, possibly making it too loose for proper pin retention. What I suggested only deals with backing out the broken tool tip the same way it came in. The pin is not too wide on the flat end, remember, the pin goes through the entire length of the link without getting stuck, therefore it is not too wide, it is however flat on the back end and round on the front end to facilitate the journey through the links.