Katia asks John to tell her whatever he knows about her father. John responds with Litvenko's age, medical condition (rheumatoid arthritis) and that he speaks several different languages - including Tamil. He also says that he has stage 3 lung cancer. With these facts, Katia figures out that her dad would be living in a country which has a warm climate where orchids can grow, moreover with advanced medical treatments available.
Source: Hitman: Agent 47
I think the bolded would is epistemic, signifying a higher possibility than could/might, but less sure than will.
The question is how to backshift it. I think it would be:
Katia figured out that her dad would have been living in a country which had a warm climate where orchids could grow...
But this backshift could bring an ambiguity with it.
Katia figures out that her dad will have been living in a country which had a warm climate where orchids could grow...
If we backshift it, I think it would be the same as the former.
Did I get it right?