> IMO the EU needs a nuclear arsenal.

What's wrong with the British and French nuclear arsenals?

And where are the "EU" armed forces, and nuclear weapon supply chain, and military and civilian command structures that would be needed to design/test/build/test/deploy/use nuclear weapons?

> And where are the "EU" armed forces, and nuclear weapon supply chain

Well, in France and in England, although the other european countries have them as well, and/or are part of that supply chain - but it's not exactly advertised due to the general population's (imo understandable) disdain for nuclear weapons; and probably a collection of geopolitical reasons too.