First, don't connect any of the connections as shown here:
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The blue wire going to the compressor gets cut and each cut end goes on terminal 7 and 8. Basically the ITC-1000 just reconnects the blue wire for you when it needs to cool.
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Now here's where it gets interesting. This arrangement will only cool as cold as the built in thermostat for the portable AC. If that's low enough great.
If it's not, you'll need to use a reverse approach. You would need to put a small low wattage heat source on the AC's built in temp sensor and that heat source would have to be switched by the 7/8 terminal instead. That way when the ITC calls for cooling, it actually heats up the sensor on the AC. Doing it this way will let you run the AC well below it's built in thermostat.
Acceptable heat sources would be a small 1 watt light bulb, a very small cartridge heater, A 2 watt resistor rated at 10,000 ohms...