Well the thing is that if the manufacturer is not subjected to the EAR De-Minimis-Rule or having a branch in the US that re-exports from the US they likely will not have the requested information on hand.
There seems to be only 2 sellers on Amazon US for the product listed
Suppose you procured from the first one
That would make Amazon the initial shipper but since you subcontracting the delivery with a
the product is shipped only to the mail forwarder who then becomes the shipper/exporter to the country of destination.
The way you are procuring the product you are constructing a supply chain with multiple shippers responsible for different legs of the journey.
If such worked in the past perhaps the EAR rules have changed since then with regard to the country of destination.