Something like Kagi is going to have to make its case strongly before making $120/year sound appealing.
Google's only advantage over other search engines is its ability to search forums more deeply. The build-in feature of diving into reddit, stack overflow, etc is often useful. After a few test searches, Kagi is adept at this as well.
Other free search alternatives that I've been happy with include: Ecosia, Quant, or even startpage.