I have worked on 20 + year old air conditioners, and this failure is not typical.
First I would check the input voltage. If this voltage is typically 110 to 128 volts, I would not be to worried about the voltage.
Second I would make sure that the fan and compressor capacitors are still good. A bad capacitor can make the fan motor stop, and this can cause extreme high head pressure on the compressor and melt the windings. A bad compressor capacitor can also melt the internal wiring.
Also check the power cord end. It should not look melted, or get 'warm' while in use, say while running the A/C or a 1,500 watt electric heater to put a 12 amp load on the receptacle. A infrared heat detector or digital thermostat will indicate if it is getting to warm. It should be within about 5F of normal outside temperature.
You might have plugged into a bad receptacle, with loose contacts on the receptacle, that are not holding onto your plug tightly, and will be the cause of a voltage loss.
Good Luck,
Fred.
PS, no need to go with the same brand.