... what is you caculation of the over all gauge?
Assuming their descriptions of the wires are accurate, overall it is an 8 gauge cord as they indicated to you, since 14 x 24 awg + 2 x 12 awg for the hot and the neutral each correspond to 8 awg.
The 6 awg for the ground run, which as I indicated is what corresponds to their description of 2 x 12 awg + 2 x 12 awg, doesn't affect the overall characterization of the cord as 8 awg, since assuming a major defect is not present in the equipment almost all of the current flows through just the hot and neutral conductors.
Regards,
-- Al