I am currently using Edge Canary for Android. Through the developer settings, I can import the Kagi Search Extension crx file and install it as an extension, which allows me to use Kagi normally in InPrivate Mode.
However, Edge Canary for Android is very unstable. In my experience, recent versions cause passkeys to easily crash the browser, but Edge Stable doesn't support manually installing crx files, so I can only install extensions available in Edge Add-ons.
