I find vintage mention of Westinghouse taut-band wire 0.005"x0.005" for 1mA full scale deflection movements.
Then many meter manufacturers came up with their own special wire. I think you'd have to bridge the gap from an analog panel meter manufacturer and a wire manufacturer to find a source. Or get a same make/size meter as a parts donor.
The original panel meter is 100uA 2kΩ AWA 94771W52
Master Instruments and maybe ask them (if they still make panel meters i.e. Linesman's test set looks like they do) for a piece of wire, or look for other surplus equipment that uses the same style meter.