feat(pwa): installable web app + landing web entry

Make the web SPA an installable PWA and surface it to users:

- manifest.webmanifest + an install-only service worker + 192/512/maskable
  icons (ui/public); PWA head tags in index.html; the .webmanifest MIME type
  registered in the gateway (the distroless image has no /etc/mime.types).
- Platform-adaptive install CTA (components/InstallApp.svelte + lib/pwa):
  one-tap on Chromium, manual Add-to-Home-Screen instructions on iOS Safari,
  hidden elsewhere / once installed / inside a Mini App. Shown under the
  logged-out login card and at the bottom of Settings.
- The landing gains a third entry linking /app/ (the brand tile), with a
  caption under all three (Telegram / VK / Веб-версия).

The service worker is navigation-only (network-first, cached-shell fallback);
hashed assets and the Connect stream are untouched. It exists to satisfy
Chromium's installability requirement and is the single growth point for a
future opt-in offline mode.

Tests: pwa.ts unit tests; a webui probe (manifest/sw.js content-type + the
SPA-fallback-to-HTML trap); e2e for the one-tap CTA, the iOS instructions
modal and the landing web entry. Docs: ARCHITECTURE §13, FUNCTIONAL (+ru),
gateway README.

ui/scripts/bundle-size.mjs

@@ -19,10 +19,11 @@ import { join } from 'node:path';
 
 const DIST = 'dist';
 
-// Per-chunk gzip budgets in KB. The app entry was raised to 110 when the local
-// move-preview wiring landed (the heavy dict subsystem stays in lazy chunks; this
-// covers the small in-entry game/debug wiring it needs).
-const BUDGET = { app: 110, shared: 30, landing: 5 };
+// Per-chunk gzip budgets in KB. The app entry was raised to 110 for the local move-preview
+// wiring, then to 112 for the PWA install feature (the install CTA + the pwa detection /
+// service-worker registration live in the app entry; the heavy dict subsystem stays in lazy
+// chunks). Its scoped CSS lands in the CSS chunk, not this JS budget.
+const BUDGET = { app: 112, shared: 30, landing: 5 };
 
 // gzipped returns the gzipped byte size of a built asset, or 0 when the reference is not a
 // local file (e.g. the Telegram SDK loaded from a CDN) or is missing.