feat(auth): implement all 16 homepage/login/register review items

- add countArticles() (published-only, mirrors news-list) and warm total_articles
- localize homepage metadata; bind articleCount to both stats; unique photo alts
- drop duplicate news date and the mascot preload priorities
- extract shared AuthPageFrame/AuthUsersCards used by /login and /register
- login: localized noindex metadata, session redirect via safeRedirectPath,
  ?from passthrough from proxy, unified auth roster cache keys, registered notice
- register: localized metadata, session redirect to /me, unified cache keys
- add resend-verification flow on /verify with rate-limited non-enumerable action
- add safeRedirectPath() with unit tests
- register form: live requirements checklist + password mismatch guard
- login form: unverified state with resend-link CTA
- honour prefers-reduced-motion in TypewriterText
- add 6 translations across all 25 locales

src/lib/services/cache-warmup.ts

@@ -7,6 +7,7 @@ import { logger } from "@/lib/logger";
 import { apiCacheKey, redisCache } from "@/lib/redis-cache";
 import { cacheNews } from "@/lib/services/news-cache";
 import {
+	countArticles,
 	countOnline,
 	countPhotos,
 	countRooms,
@@ -65,6 +66,11 @@ export async function warmPublicCaches(): Promise<void> {
 			staleMs: COUNTER_TTL_MS,
 		}),
 	);
+	await warm("total_articles", () =>
+		cached("total_articles", COUNTER_TTL_MS, countArticles, {
+			staleMs: COUNTER_TTL_MS,
+		}),
+	);
 	await warm("online_users", () =>
 		cached("online_users", ONLINE_TTL_MS, listOnlineUsers, {
 			staleMs: 15_000,