I see, I think that link is referring to this project? https://www.dinletbane.dk/in-english/stations-and-trains/ In which case, looks like it won't open until 2025 and it's now up to $920 million. But yeah I certainly agree that construction in most of the rich world is dramatically cheaper than most rich US cities.
Looks like it went up a bit, but that figure also includes $150 million in reserves, while I’m not sure the original $650 million was factoring in the reserves.
Maryland is currently building a suburban light rail system that’s almost exactly the same length, with fewer stations. It’s closing in on $6 billion with no reserves.