Again NO
I highly doubt that you would take a load to go into Mexico with your own equipment, and if you do , good luck to you.
Generally such loads will travel trough the USA on a IT US bond and the freight will be unloaded at a U.S. - Mexican border crossing such as Laredo TX or Eagle Pass TX.
And as such if you picked up in California and dropped in a U.S. border city warehouse you have in effect committed cabotage, as the freight did not actually go into Mexico on your own truck.