Kagi search extensions (open source, available on all browers) allows you to search in private windows. https://help.kagi.com/kagi/getting-started/setting-defa

Kagi search extensions (open source, available on all browers) allows you to search in private windows. https://help.kagi.com/kagi/getting-started/setting-default.html#browser_extension https://help.kagi.com/kagi/getting-started/setting-default.h... In additional Kagi implements the same thing you suggested basically, called a private session token that allows you to be logged in by appending it to the URL if you do not want to use the extension.