I managed to solder the wires onto a tiny surface mount microphone.
The microphone is 4mm x 2mm and has 6 pads on it. I soldered a 24 gauge wire to each one.
I haven't tested to see if it works yet, but I feel accomplished.
The mic in question is https://www.digikey.com/product-detail/en/knowles/SPG08P4HM4H-1/423-1433-1-ND/10130508