Maybe your usage might not be affected, I propose to check for a month and if it really goes over the limit, you have the option of canceling the subscription.

It definitely is worded in a way that it can either be interpreted as (unlimited searches and unlimited premium ai) or (unlimited searches and premium ai).

It also may not help that they did not enforce the fair use policy until now. At least that is what I read out of their blog post.

But the fair use policy has been included a long time. I checked 2023-12-25 and found it there, might be available earlier, but no interest in looking harder.

They advertise with the phrase "Unlimited Kagi Assistant", so I'm not sure how you can interpret that as "unlimited searches and premium ai". Kagi Assistant refers to the same thing as "ai" here. It's a different product than Search.