feat(web): public mesh stats counter + /api/public/stats endpoint

Live social-proof counter on the landing page, tied to the E2E
narrative. Formatted as understated mono footer, not hero brag.

Backend — new GET /api/public/stats (unauthed, 60s in-memory cache):
  {
    messagesRouted: SELECT COUNT(*) FROM mesh.message_queue,
    meshesCreated: SELECT COUNT(*) FROM mesh.mesh WHERE archivedAt IS NULL,
    peersActive: SELECT COUNT(*) FROM mesh.presence WHERE disconnectedAt IS NULL,
    lastUpdated: ISO timestamp,
  }

Aggregate counts only — no ids, no names, no ciphertext, no routing
metadata. Safe for public consumption. cache-control header sets
public/s-maxage=60 for edge caching. `x-cache: HIT|MISS` for debug.

Frontend — new MeshStats Server Component at
modules/marketing/home/mesh-stats.tsx. Reads the endpoint server-side
via the ~/lib/api/server client, renders monospace footer:

  ciphertext routed → 4,217 messages · 12 meshes · 8 peers online
  broker sees none of it

Graceful zero state: when messagesRouted === 0 shows
"ciphertext → ready to route" instead of embarrassing zeros. Tabular-
nums for the numeric spans so they don't jitter across renders.

Mounted between <CallToAction /> and <LatestNewsToaster />. Page-level
`export const revalidate = 60` so Next.js ISR refreshes the counter
every minute without a DB hit on every request (combined with the
API cache = two-layer 60s TTL, DB sees ~1 query/minute).

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

apps/web/src/modules/marketing/home/mesh-stats.tsx

@@ -0,0 +1,72 @@
+import {
+  publicStatsResponseSchema,
+  type PublicStatsResponse,
+} from "@turbostarter/api/schema";
+import { handle } from "@turbostarter/api/utils";
+
+import { api } from "~/lib/api/server";
+
+const ZERO_STATS: PublicStatsResponse = {
+  messagesRouted: 0,
+  meshesCreated: 0,
+  peersActive: 0,
+  lastUpdated: new Date(0).toISOString(),
+};
+
+const fetchStats = async (): Promise<PublicStatsResponse> => {
+  try {
+    return await handle(api.public.stats.$get, {
+      schema: publicStatsResponseSchema,
+    })();
+  } catch {
+    return ZERO_STATS;
+  }
+};
+
+const nf = new Intl.NumberFormat("en-US");
+
+export const MeshStats = async () => {
+  const stats = await fetchStats();
+  const empty = stats.messagesRouted === 0;
+
+  return (
+    <section className="border-t border-[var(--cm-border)] bg-[var(--cm-bg)] px-6 py-10 md:px-12">
+      <div className="mx-auto max-w-[var(--cm-max-w)]">
+        <div
+          className="flex flex-col items-center gap-1 text-center text-[13px] text-[var(--cm-fg-tertiary)] md:flex-row md:justify-center md:gap-2"
+          style={{ fontFamily: "var(--cm-font-mono)" }}
+        >
+          <span className="text-[var(--cm-fg-secondary)]">
+            ciphertext routed
+          </span>
+          <span className="text-[var(--cm-clay)]">→</span>
+          {empty ? (
+            <span className="text-[var(--cm-fg-secondary)]">
+              ready to route
+            </span>
+          ) : (
+            <>
+              <span className="tabular-nums text-[var(--cm-fg)]">
+                {nf.format(stats.messagesRouted)} messages
+              </span>
+              <span className="hidden text-[var(--cm-border)] md:inline">·</span>
+              <span className="tabular-nums text-[var(--cm-fg-secondary)]">
+                {nf.format(stats.meshesCreated)} meshes
+              </span>
+              <span className="hidden text-[var(--cm-border)] md:inline">·</span>
+              <span className="tabular-nums text-[var(--cm-fg-secondary)]">
+                {nf.format(stats.peersActive)} peers online
+              </span>
+            </>
+          )}
+        </div>
+        <p
+          className="mt-2 text-center text-[11px] text-[var(--cm-fg-tertiary)]/70"
+          style={{ fontFamily: "var(--cm-font-mono)" }}
+        >
+          broker sees none of it
+        </p>
+      </div>
+    </section>
+  );
+};