Rebuilding coil cartridges generally isn’t worth the trouble, though it is occasionally possible. The only reason to do it is if you can’t get replacement
coils. If your coil cartridge costs are too high for you a better bet is an
rta. They’re designed to be rebuilt.
Looking at the pics though it seems pretty standard. The insulator is clear which means it may be silicon rubber. If it’s plastic you may be SOL. The thing may have been molded into place.
The usual method for coil cartridges in general is to pull out the bottom plug leaving a rubber grommet ring visible.
You then (very carefully because they tear) pull out the rubber grommet ring. The ring is the electrical insulator between the positive center pin and the negative outer ring, so when you recoil them you sandwich one wire one the outside of the grommet and one on the inside, replace the grommet and plug, then cut off the spare wire. The grommets wear quickly so there’re only good for a few recoilings and it’s fiddly and takes a while to do. Easier to get a new coil cartridge. Unless of course you can’t.