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Heat pumps can't take the cold? Nordics debunk the myth
(techxplore.com)
This is a most excellent place for technology news and articles.
2600 is dirt cheap even by Euro standards, trust me.
Here in Italy a single room split would cost you around 1k to 2.5-3k depending on the brand.
A whole house system you're probably looking at 10k and then some.