feat: add GitHub star nudges to CLI build view and docs sidebar (#271)

* feat: load star count during context builds

* docs: document star prompt opt-out

* fix: initialize demo context star count

* feat(docs-site): add GitHub star count widget to docs sidebar

* test: isolate star-prompt build-view tests from ambient CI env

docs-site/app/docs/layout.tsx

@@ -2,10 +2,21 @@ import { source } from "@/lib/source";
 import { DocsLayout } from "fumadocs-ui/layouts/docs";
 import type { ReactNode } from "react";
 import { baseOptions } from "@/app/layout.config";
+import { GitHubStars } from "@/components/github-stars";
 
 export default function Layout({ children }: { children: ReactNode }) {
   return (
-    <DocsLayout tree={source.pageTree} {...baseOptions}>
+    <DocsLayout
+      tree={source.pageTree}
+      {...baseOptions}
+      sidebar={{
+        banner: (
+          <div className="flex">
+            <GitHubStars />
+          </div>
+        ),
+      }}
+    >
       {children}
     </DocsLayout>
   );