feat(website): add search-intent titles, FAQ schema, and breadcrumbs

Give Google unique snippets and FAQ rich results, and keep robots/sitemap from being cached as HTML.

Co-authored-by: Cursor <cursoragent@cursor.com>

docs/HANDOFF.md

@@ -4,7 +4,6 @@
 
 ## Current state
 
-- **Outcome:** Website prepared for Google indexing (path URLs, robots, sitemap, unique titles).
-- **Shipped:** BrowserRouter; hash `#/…` rewrite; `public/robots.txt` + `sitemap.xml`; `src/seo.ts` + `SeoHead`; `inject-seo.mjs`; HTTP 404 + `NotFoundPage`; origin `https://lexai.juankibin.space`.
-- **Verified:** `website:build` OK. Local `node server.mjs`: `/` `/docs` `/robots.txt` `/sitemap.xml` 200 (docs title unique; sitemap `application/xml`); `/no-such-page` 404.
-- **Next smallest action:** Redeploy Coolify, then Search Console: verify property, submit sitemap, request index of `/` and `/docs`.
+- **Outcome:** Sitemap accepted in GSC. SEO pass: intent titles, home FAQ + FAQPage JSON-LD, breadcrumbs, lastmod sitemap, 5-min cache on robots/sitemap.
+- **Verified:** `website:typecheck` + `website:build` OK (inject wrote route HTML + sitemap.xml).
+- **Next smallest action:** Merge/deploy this to `main`, purge Cloudflare `/robots.txt`, then in GSC request indexing for `/` and `/docs`.