Will a standard single phase mechanical watthour meter work properly when used on 2 phases of a 208Y/120 system?

I am installing a bunch of instrumentation, a cabinet air conditioner, and some lighting in a shed located about 300' away from a building. The feeder run to the shed from the building is 2 phases, neutral, and ground of a 3 phase 208V system in the main building. The site owner wants a watthour meter on the side of the shed, so the instrument owner can be billed for the power consumed. Will a standard mechanical watthour meter read properly if the phase difference between the legs is 120 degrees rather than 180, or do i need the more expensive electronic CT type metering here?