I'm an American that qualifies for citizenship by descent for a European country that is not yet in the EU, but is starting the process. If I get dual-citizenship, how much easier does it become to emigrate to one of the other EU countries, once this country does officially become a part of the EU? Does that mean I can just move to any EU country and start looking for work, no restrictions? Would I have to get a 3rd citizenship if I decided to get permanent residence in, say, France? (Can you even do that?) Would this dual-citizenship be a benefit at all in getting permanent residency in Europe...

(By the way, I don't want to move to the country I'd be claiming my second citizenship from)

Thanks for the help!