Kagi doesn't have a partnership with Google - they work under adversarial interoperability, stealing results from Google against their will, and paying some third-party to enable this. They'd like to simply pay Google, but Google doesn't want their money.
Kagi is backed by russia so they will be fine.
You’re probably referring to the fact that their search results include entries from Yandex. That’s something entirely different from being “backed by Russia.” If anything, they pay Russia, not the other way around.
And Yandex has better results than Google, so I support this move. The USA does more wars than Russia does anyway.