Slightly hacky solution to embed full kick site instead of the embed. You can toggle kick chat on and off next to the script toggle in your userscript host extension.
This script no longer works as kick seems to have blocked all cors proxies, or otherwise found a way to prevent serving to iframes. This is unlikely to change in the future, so I'm disabling this script for anyone with autoupdate.
If you really want to try it still, you can install it then manually remove the return statement at the start.
This script seems to have some issues on TamperMonkey for some people, idk why. ViolentMonkey appears to be more reliable.