Local Coordinate System (arbitrary units)

I am trying to input GCP's into my model of a power plant that is on its own coordinate system, my surveyor gives me units coordinates that are is (US FEET). ContextCapture does not offer an option for local coordinate system in these units, only offers "meters" and "arbitrary". Does anyone know the workflow to perform this in US FEET? And why would anybody use a meaningless arbitrary unit?

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