Another (not mine) 2006 2.4 had an oil sender unit replaced while seeing about a galllon a month coolant loss.
Btw, no indicators of loss on the floor.
He just had water pump replaced at dealer and has lost a full reservoir in 3 days. Still no signs of leaks.
Suggested to dealer to suspect head gasket, but they said they had never seen in issue like that. Apparently they are not counting cobalts.
Any ideas?