chore: refresh collected sites — adopt vet, sync react-openapi bundle

collect.py run: adds the vet reference app (TypeDoc lib site + doc-weaver
MCP bundle), picks up the refreshed react-openapi specExtensions module from
Phase 1, and re-renders the docs homepage.

_index/index.html

@@ -106,6 +106,13 @@
       <a href="/khata-app/lib/" target="_blank">view lib</a>
     </div>
   </div>
+  <div class="card">
+    <h3>Vet</h3>
+    <p>Full-stack reference application — OpenAPI-first FastAPI server paired with the spec-driven React admin client (@aetoskia/react-openapi + @aetoskia/react-auth).</p>
+    <div class="card-actions">
+      <a href="/vet/lib/" target="_blank">view lib</a>
+    </div>
+  </div>
 </div>
 </section>