I would suspect you simply run the leads from the Attitude to the back of the pyrometer and connect them to the same place the thermocouple is currently connected.

But why guess? Edge is very easy to talk too and offers excellent tech support. So e-mail or call them and ask them.
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Thermocouples work because of 2 diffrent metals when combined and heated create eletricity. Since it isnt a ohms style gauge like a normal temp sensor I would think you would be able to tap it. Calling is still better! Let us kno what they say...

 

Here is there response.

"Steve,
We do not recommend using two gauges off of the same sensor. This can cause interference with different gauges. If the sensor is a Type "K" it should work fine with our product.

Let me know if you have any additional questions."