Zenith tube sockets: is there a trick to re-mounting them?

[AlanInSitges]

I have a hybrid Zenith OG Chromacolor set that the socket of the 6JD5 HV regulator tube has come loose from its mountings. Most of the Compactron sockets in the chassis, including this one, have two ears, each containing a hollow, cone-shaped um, thing. Said thing is inserted into one of the solder pots on the chassis, and it was I assume soldered there to hold it in place.

Both ears of the 6JD5 have come loose, so the socket is just sort of hanging there by its attached components and wires. One of the ears has its cone-thing empty, no solder, no nothing, the other one has some components soldered into it which seem to be grounded through cone-thing, which is soldered into the solder pot on the chassis.

Has anyone had to replace or re-attach one of these things before? My idea is so add 1 couple cm of solder to the empty solder pots, then heat them from the other side with a beefy iron. Everything is brittle in this set so I'm mindful of not wanting to melt or otherwise damage that socket, that there will probably never be another one of.

Suggestions anyone?