Get the Lynkow branding badge

Return the Made-with-Lynkow badge as a JSON envelope `{ data: { html, css } }`. The `html` field is the full anchor tag with the SVG embedded; the `css` field is the matching scoped CSS. Insert both into the host page (a `<div>` placeholder plus a `<style>` tag). Returns JSON, not SVG, despite the route name.