Just to expand on what Brad said. There is no wiring. The capillary tube runs from a screw-in fitting on the left front of the engine back through the firewall and then to the gauge. The fitting, tube and gauge are all one piece.
To replace it, you need to drain some coolant, remove the engine fitting, remove the gauge cluster (after removing the steering wheel and tach), and thread the tube through the firewall (removing the firewall grommet) and out through the hole for the cluster. Then you remove the gauge from the cluster and install the new gauge/tube/fitting and re-assemble in reverse order.
I bought a rebuilt gauge from benzrestorer on ebay.
You can go after the shop on this, of course. But with age, the tube gets really brittle where it attaches to the engine fitting and it's tough to get it out without damaging it.