The website is linked from the project README and includes Install / Open VSX links back to:
Please add the verification badge for publisher lukasz0303 in the Cursor marketplace so users no longer see the unverified-publisher warning on install.
Thanks for the request, and for the detailed write-up!
To be verified, a publisher needs a public website on its own domain name. A GitHub Pages address like lukasz0303.github.io doesn’t meet that requirement yet, so the first step is to host the site on a domain you own.
Once that’s in place, please set the homepage field in your extension’s package.json to that website and publish a new version. At the moment the Open VSX listing’s homepage points to the GitHub readme. Keep the Open VSX install link on the site as well.
Reply here once both are done and we’ll take another look!