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To start, it sounds like the problem may be the water pump. However, there are other possibilities. Here is what I recommend: Follow the direction in the following directions to pressurize the system and check if you can see where the leak is coming from.
Additionally, here are the directions to identify a water pump issue:
Finally, check to make sure there are no hoses leaning as well as the intake gasket which is a common problem on these engines. I have attached a picture of the intake manifold for you to see. There are two different V6 engines and I am not sure which you have. The attached picture is of the 3.4L but the 3.8L looks very similar. When pressurized, check around where the manifold is mounted to the engine block for evidence of leaks. Also, there is a bypass hose above the water pump which can leak. I also attached a picture of the water pump for you to see. The belt will be routed around it.
I hope this helps.
Images (Click to enlarge)
Wednesday, May 2nd, 2018 AT 8:04 PM