"Once welded, the tubes are plugged at one end, filled with a water foaming mixture and plunged into an alcohol bath.
Ice formed in the cone maintains the structural integrity while it is bent."
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Here is my guess, by trying to match the above statement to the above video.
In the above video, the worker seems to plug the cork end of the neck tube by putting something in the neck tube and ramming it down the neck tube and then I would presume that the neck tube is filled with the water foaming mixture.
The water foaming mixture is probably a detergent/water mix which freezes in a different way to just water and the frozen detergent/water mix maintains structural integrity as the neck tube is bent and also probably makes bending easier, rather than just water ice which would probably have a tendency to break into larger pieces as the neck tube was bent and also be harder to bend, therefore losing some of it's structural integrity as the neck tube was bent.
The alcohol bath (a neck tube bath can be seen in the above video) probably freezes the water foaming mixture and might be something like an ethanol bath or whatever type of alcohol bath that can freeze water.