I think that "so that"Edit: I misread the double negative at the end of the quote in your sentencequestion. I agree that it would fit with purpose"result". However, purpose
Purpose and result are not incompatible. A result can be unintended or intended. Purpose can be thought of as an intended result, i.e. a subset of result.
In practice, "so (that)" denoting purpose can be replaced with "in order that"
I eat, so that I am not hungry.
while "so that" denoting a non-volitional result can be replaced with "with the result that".
It rained, so that the ground is wet.It rained, so that the ground is wet.
The birds return every year around March, so that April is a good time to see them.