Importing small order into Amazon UK from China an being asked for VAT and EORI?

I am selling in North America a 1 SKU item that I have invented and do the sole manufacturing and distribution for globally. I wanted to expand the sales to Europe so I get approved to sell in that market in Amazon. I just want to send 4 units only to each of the Europian markets to test them out (value less than 300 USD each shipment). But Amazon are asking me to provide VAT and EORI for the imports coming from China if I use the Amazon shipping solution.

Is there anyway around that?

I can use a Chinese shipper who don’t ask for this info I suppose they use their own entities for smaller imports but its double the price to ship so Amazon shipping seems a great option if only they let me test sell first before overwhelming me with VAT and EORI.