feat(zero): admin panel section + site /zero page + autogen card

Admin (/admin/zero):
  - new AdminZero with list, status filters, generate button (bucket + allow_dup)
  - per-note actions: approve, edit inline, regenerate (bucket pick), skip,
    'publish now' (approve + scheduled_at=now → runner picks up within 1m)
  - config panel: toggle on/off, generate/approve/publish hour MSK, site URL base
  - new pin 'Зеро' (☕) in AdminNav

Site (zeropost.ru):
  - ZeroBlock — feed of last 3-6 Zero notes, rendered on home next to Серии
  - /zero — full Zero notes list page with character bio block (avatar + bullets)

Autogen integration:
  - ZeroAutogenCard on /admin/autogen — amber card with on/off, hour pickers,
    'generate now' and last-3 preview, link to full section

Plumbing:
  - lib/engine.js: listZeroNotes(), getZeroCharacter()
  - app/admin/api/zero/[...path]/route.js: catch-all proxy with cookie auth

app/page.js

@@ -6,12 +6,13 @@ import HeroImage from '@/components/HeroImage';
 import Stats from '@/components/Stats';
 import NowBlock from '@/components/NowBlock';
 import NotesBlock from '@/components/NotesBlock';
+import ZeroBlock from '@/components/ZeroBlock';
 import SeriesGrid from '@/components/SeriesGrid';
 import CategoryRow from '@/components/CategoryRow';
 import PopularBlock from '@/components/PopularBlock';
 import RecentBlock from '@/components/RecentBlock';
 import Reveal from '@/components/Reveal';
-import { getHomeData, listTags, getStats, getLive, listNotes, listSeries, listCategories } from '@/lib/engine';
+import { getHomeData, listTags, getStats, getLive, listNotes, listSeries, listCategories, listZeroNotes } from '@/lib/engine';
 import { Sparkles, ArrowRight } from 'lucide-react';
 
 export const dynamic = 'force-dynamic';
@@ -20,10 +21,10 @@ const CATEGORY_ORDER = ['ai-tools', 'ai-dev', 'automation', 'cybersec'];
 
 export default async function HomePage() {
   let home = { hero: null, byCategory: {}, popular: [], recent: [] };
-  let tags = [], stats = null, live = null, notes = [], series = [], categories = [];
+  let tags = [], stats = null, live = null, notes = [], series = [], categories = [], zeroNotes = [];
 
   try {
-    [home, tags, stats, live, notes, series, categories] = await Promise.all([
+    [home, tags, stats, live, notes, series, categories, zeroNotes] = await Promise.all([
       getHomeData(),
       listTags(),
       getStats(),
@@ -31,6 +32,7 @@ export default async function HomePage() {
       listNotes({ limit: 6 }),
       listSeries(),
       listCategories(),
+      listZeroNotes({ limit: 6 }),
     ]);
   } catch (err) {
     console.error('Home load failed:', err.message);
@@ -131,6 +133,15 @@ export default async function HomePage() {
         </Reveal>
       )}
 
+      {/* ЗЕРО — короткие заметки AI-персонажа */}
+      {zeroNotes.length > 0 && (
+        <Reveal>
+          <div className="reveal">
+            <ZeroBlock notes={zeroNotes} compact />
+          </div>
+        </Reveal>
+      )}
+
       {/* КАТЕГОРИЙНЫЕ РЯДЫ */}
       {CATEGORY_ORDER.map(cat => (
         <Reveal key={cat}>