As someone in the same position, it’s a difficult line to manage.
I’ve criticized Kagi before, but it’s still unfortunately the best model for search on the market. I pay them money, they give me search results. As the prior post said, they’ve introduced switches to disable all of the AI. And if you believe what they’ve said about costs, then search is more expensive for them than AI — so if you use a lot of search (as I do, ≈1.2K/Mo), and don’t rack up AI usage, then that money isn’t going to AI, viewed in a vacuum of course.