The US already had a military presence in Greenland, so what is this? Just status quo and calling it a win?

Trump says

…is the keyword here.

Either the guy told yet another lie, or his demented brain just cooked up yet another story that didn’t happen.
I’ll believe it when Denmark confirms it.

" Shhh. Do not mention to Trump that it is the Kingdom of Denmark that has won"

This is the title of an analysis in Danish news outlet “Berlingske”, link. Basically it says :

" The wildest thing is not the agreement itself, which the USA enters into with Greenland and Denmark. The wildest thing is that ministers, diplomats and officials have succeeded in selling it to Trump as a great personal success for the president. Make no mistake – it is a shame it is a great success for both the USA, Greenland and Denmark that the Americans »will defend security in Arctic«, as Trump writes on Truth Social.

But it is far from Trump’s wild dream of making Greenland American and expanding the American territory by annexing the world’s largest island. Instead, it has apparently succeeded in entering into an agreement where no red lines are violated. Where the sovereignty of the Kingdom is not violated and persists."

So in other word, nothing happened, just another random unsupported claim with no details

Just don’t talk about the Epstein files

I was expecting this was one of his delusions and Denmark hasn’t been talked with at all, but looks like they confirmed there was an agreement.

deleted by creator

The official said the ​agreement grants the US permanent access, basing and overflight rights, and would continue to apply even if Greenland becomes independent

That should be the relevant part. If Europe declines further and Russia and China can offer a better life, Greenland cannot switch sides.