What would the EU even do if the US invaded Greenland?

The EU are toothless, and I don’t think they would actually do much outside of a few half-hearted condemnations. Without the empire, the EU are nothing, and would get annihilated by Russia and China. Hell, even with the US they would have a really bad time. The EU are posturing against the US now, but when it comes down to it, I don’t think they would risk a full on confrontation with the US if they were to try to annex Greenland. What are your thoughts?