Having sorted valve stem extraction, now let's look at valve stem insertion. Throughout the process, tyre fitting paste is continuingly applied and reapplied to all surfaces that are subject to friction. The paste is superior to washing up liquid for this application. Oil is finer and might work even better. But, oil should not be used for rubber.
The job is aided by this tool. But, the tool is incompatible with my wheel: the thick and robust guide/compression tube is too fat for the recessed space available.
An adaptor is 3D printed using petg. A 2mm thick wall with random seam positions is strong enough to resist the expansion of the compressed valve stem rubber. To smooth the adaptor interior from print artefacts, a large drill bit is used. The sharp spiral edge of the drill bit acts like a circular knife. Cut using a sawing motion.
The first step is to compress the valve stem to produce a rubber protrusion. The protrusion acts as an alignment guide for the target hole.
The valve stem is transferred to the adaptor by giving it an almighty push until it can go no further.
Transfer complete.
The detachable base of the adaptor is removed to reveal a protrusion. The base helps to obtain a 4mm protrusion that is still tapered.
Now ready to install.
Installation completed with mallet. No need to go crazy with it, just hammer, check, hammer, check to ensure there is advancing movement. Excessive force could result in the puller steel crashing onto the edge of the valve stem hole damaging it.