I also use Kagi. Just start with the trial, upgrade to the $5 starter tier when you run out, then upgrade to the pro $10 tier if you hit the limit. It appropriately apportions things if you've only used half your month.
I'm on the $10 pro tier as I use over the 300 searches a month in the $5 starter tier ($10 is unlimited).
Kagi has AI on request. If you put a question mark on the end of your search query, you get an AI response. No question mark, no AI.
I think Kagi is worth trying for other reasons, but probably only for people who $10 a month is not a significant cost. It's not better than food, but it does let me block all Pinterest results so I never see them.