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looks like the connector for the seconary solinoid(if thats what its called) check back of intake
Or it could go to that HVAC heat switch on on the the heater hose lines...
I'm guessing this one - we should be able to see the temp sensor in that photo, but it looks like that heater hose line with the sensor has been replaced with a hose and the sensor no longer exists.

Ok so once I put a heater core in this thing, does that mean that the heat won't work properly?