They're calling it a "right", but it does not meet the US definition of a right as it is, definitively, a positive right whereas the US only defines negative rights as human rights.

If the US wants to adopt this model as a social program, I would respect the implementation of a strings-free service much more than the strings-attached approach that currently exists. As the article says, eradicating homelessness is more about getting a roof over someone's head than prequalifying them on "good behavior" before doing so. The outcome of the Finnish program is not surprising to me in the least.

Regarding the Finnish "right" of housing, I do have this question... I cannot find the actual program documentation. My question is as follows: if I'm Finnish and make $14 billion euros a year, will the gov still provide me free housing?

Yes, we should all strive to emulate tiny, culturally homogeneous de facto ethnostates. Their policies will surely work in gigantic, culturally hyper-heterogeneous nations that already struggle with bureaucratic bloat, public service abuse, and horrid quality of public goods and services.