There is some misinformation on the post above. My knowledge is based on personal experience with the business Centurion and what I've read from long time posters here.
There have been plenty of reports of people having spend split among personal and business (their own, linked to their SS #) cards and having it count. Further, in cases like this, they have been offered their choice of a personal or business Centurion.
Additionally, AMEX does allow spend from credit cards, such as the SPG card, to count toward this. From what I've read here, it seems that they want you to have a Platinum charge card for at least a year, but I don't have experience with that.
Comments about the corporate card are correct as far as I know, although I suppose if you owned the corporation you might be able to work something out, but I don't think that's the case here.