carpenter ants in cherry blossom tree

I found out that my cherry blossom tree has a nest of carpenter ants in it.. They started nesting where a branch was cut off a long time ago.. I can see in and see a few soldiers.. I was spraying around the house with Spectricide Terminate to build a barrier.. I decided to spray a little into the hole, and a bunch of angry ants came out.. I sprayed a little more, and even more ants came out.. A little more, then winged reproductives came out.. soon, the ground was covered with dying, disorientated ants..
Is this going to take care of it? or should a blow some boric acid in there for more long term control? and. is it even wise to do this to a living tree anyway?
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Chris wrote:

If you are getting the winged reproductive flushed out you probably got to the heart of the nest. There was no need to do anything to them though, they are a benefit to the tree removing the diseased/decaying wood of the tree.
Lar
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