The only team you need in the EU is someone to peel shipping labels off inbound parcels and ship them on to the US.

That's a fantastic way to get the attention of and end up getting the stick from the US, so I think (hope) the EU would have mechanisms in place to quickly shut down tariff evasion strategies that would involve just relabeling goods.

We don't even have that in place for illegal Russian oil exports or imports of stuff they use to make rockets to shoot at Ukraine with.

It is already an established business model.