That’s a weird break, but those aren’t broken anywhere near the internal solder joint. If you held that cartridge in a clamp or a vise, put a tiny bit of silver-bearing solder into the hole, drop the pins in and heated the pins with a soldering iron, I’m pretty sure you’d repair it. Use silver bearing solder because it is a lot harder than standard electronic solder but has about the same melting temperature. Take the color rings off first and then put them back on when the pins cool. You need a hot soldering iron, probably at least 25W to get that pin hot. Touch it just until the pin sinks into the melted solder—1 second is all you need.
This image is from the A-T website.
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The coil wires are connected underneath the white blob of damping material. I actually think that’s dental cavity filler like Grado uses. It would seem highly unlikely that even if the solder melted holding the wires to the interior pins melted that the wire would separate. When the solder cooled again you’d still have a good connection.
Anyway, you have nothing to lose by trying.