There's a couple of problems with this:
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The vendor has no idea what the destination is when sending it through military post. Part of the whole point of a separate postal system is that you can't figure out deployments from postage. So even if they're doing it "on behalf of Bahrain" they're aiming that the wrong direction. They should have been aiming it at the recipients (who obviously know where they are) not the shipper (who doesn't).
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The country of Bahrain has no position where it can give orders to nonresident foreign citizens either.