You won't find what Trump is thinking by analyzing the works of Alexandr Dugin, nor the intentions of Europe/EU. Please don't read that extremist propaganda, it will not do you any good. He is probably clinically insane.
While Putin does like some of what he is writing, I am absolutely certain he is cherrypicking what he likes from it and ignores the rest. But Putin is probably also clinically insane, so that doesn't really help...
Also, Putin and by tradition Russia considers EVERYONE an existential threat, unless they completely submit to Russia and Putin. The Russians have a saying: "Russia only has two allies, the army and the navy." That probably tells you everything you need to know.
What is more interesting to me is what China thinks of Russia and EU. If you can find a credible work on that, I'd be interested.
I didn't know the three had a free trade agreement, that is quite significant. I wonder how Taiwan feels about that :/
Deeping economic ties seems very vague, but free trade is good for maintaining peace in the region. Too bad US now want to make things worse with the tariffs...
I really do wonder where all this will end. US will likely face an economic recession like we haven't seen since 2007-2008, maybe even since 1933. Their recession will drag the rest of the world with them. Inflation will probably get back to high levels by summer and styme any economic recovery.
They will also become more isolated diplomatically, since it is impossible to deal with Trump, unless you give more than you get. Everyone will do what they can to be come more independent of US, including military tech, cloud services etc, which will hurt their economy even more.