I think I have got the bit that matters, the only thing I can’t see is the actual hole size in the dural cone which by a by of maths is the part he is after at 2.11mm long.
It’s tapered round item with a hole to take the other part. it is that hole which I am not sure is just round or if it has a flat and the size of the hole is missing. A guess would say the hole is 0.72mm
A view from the other end would help as the Heating coil? obscures the detail of the hole in he other view.
Looks like a collet for some for of hot knife or engraver judjing by the shape of the tip.