Kagi Privacy Pass.

What is Kagi Privacy Pass?
Privacy Pass is a powerful privacy feature that allows you to use Kagi Search with greater anonymity. When enabled, it lets you perform searches more anonymously while still verifying that you’re a valid Kagi subscriber. Think of it as a digital token system - similar to getting tokens at an arcade, where once you have them, you can use the services without showing your ID each time.

How does it work?
When you enable Privacy Pass, instead of logging in with your Kagi account for each search, you use special cryptographic tokens. These tokens prove you have the right to use Kagi’s services without revealing who you are. This means your searches can’t be linked back to your account or to each other, providing an additional layer of privacy.

https://help.kagi.com/kagi/privacy/privacy-pass.html

So your browser generates tokens from your logged in session. Then when searching it uses a token instead of your session id for your Kagi searches. So your search on Kagi’s end looks the same as every other privacy pass token search, not individually identifiable.

Privacy Pass does not work on the limited Starter plan. That plan is limited to 300 searches per month, so they have to be able to track your specific usage.