feat(landing): move live counter above demo banner, point CTAs to demo root

Surface the live stats counter directly under the hero, ahead of the
"Try it live" banner. Demo CTAs (hero + banner) now open the demo root
instead of /admin so visitors land on the public status page first.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

docs/index.html

@@ -672,7 +672,7 @@
   <h1>Turn email newsletters into <span>private RSS feeds</span></h1>
   <p>Self-hosted on Cloudflare Workers. Your data stays in your own account, served from your own domain.</p>
   <div class="hero-ctas">
-    <a href="https://demo.kill-the.news/admin" class="btn btn-primary" target="_blank" rel="noopener">
+    <a href="https://demo.kill-the.news" class="btn btn-primary" target="_blank" rel="noopener">
       <svg width="15" height="15" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><polygon points="5 3 19 12 5 21 5 3"/></svg>
       Try the demo
     </a>
@@ -684,31 +684,6 @@
   </div>
 </div>
 
-<!-- Demo banner -->
-<div class="demo-banner">
-  <div class="inner">
-    <div>
-      <h2>Try it <span>live</span> — no setup required</h2>
-      <p>
-        A hosted instance runs at <strong style="color:var(--text)">demo.kill-the.news</strong>, pre-loaded with sample feeds.
-        Create a feed, grab the RSS URL, and add it to your reader — all without deploying anything.
-      </p>
-      <div class="demo-creds">
-        <span class="cred-item">URL <strong>demo.kill-the.news/admin</strong></span>
-        <span class="cred-sep">·</span>
-        <span class="cred-item">Password <strong>password</strong></span>
-      </div>
-    </div>
-    <div class="demo-actions">
-      <a href="https://demo.kill-the.news/admin" class="btn btn-primary" target="_blank" rel="noopener" style="font-size:0.95rem;padding:0.6rem 1.35rem;">
-        <svg width="14" height="14" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><polygon points="5 3 19 12 5 21 5 3"/></svg>
-        Open demo
-      </a>
-      <span class="demo-note">Resets periodically · for testing only</span>
-    </div>
-  </div>
-</div>
-
 <!-- Live stats (demo instance) -->
 <section id="stats" class="stats-section" hidden>
   <div class="stats-inner">
@@ -726,6 +701,31 @@
   </div>
 </section>
 
+<!-- Demo banner -->
+<div class="demo-banner">
+  <div class="inner">
+    <div>
+      <h2>Try it <span>live</span> — no setup required</h2>
+      <p>
+        A hosted instance runs at <strong style="color:var(--text)">demo.kill-the.news</strong>, pre-loaded with sample feeds.
+        Create a feed, grab the RSS URL, and add it to your reader — all without deploying anything.
+      </p>
+      <div class="demo-creds">
+        <span class="cred-item">URL <strong>demo.kill-the.news/admin</strong></span>
+        <span class="cred-sep">·</span>
+        <span class="cred-item">Password <strong>password</strong></span>
+      </div>
+    </div>
+    <div class="demo-actions">
+      <a href="https://demo.kill-the.news" class="btn btn-primary" target="_blank" rel="noopener" style="font-size:0.95rem;padding:0.6rem 1.35rem;">
+        <svg width="14" height="14" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><polygon points="5 3 19 12 5 21 5 3"/></svg>
+        Open demo
+      </a>
+      <span class="demo-note">Resets periodically · for testing only</span>
+    </div>
+  </div>
+</div>
+
 <!-- Features -->
 <section id="features">
   <div class="section-header">