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/src/screens/Login.svelte

@@ -1,6 +1,7 @@
 <script lang="ts">
   import { loginEmail, loginGuest, requestEmailCode } from '../lib/app.svelte';
   import { t } from '../lib/i18n/index.svelte';
+  import InstallApp from '../components/InstallApp.svelte';
 
   let email = $state('');
   let code = $state('');
@@ -55,6 +56,9 @@
       </button>
     {/if}
   </div>
+  <!-- Web-only install call-to-action, under the login card. Renders nothing unless the app is
+       installable here (see components/InstallApp.svelte / lib/pwa). -->
+  <div class="promo"><InstallApp /></div>
 </main>
 
 <style>
@@ -62,8 +66,15 @@
     height: 100%;
     display: grid;
     place-items: center;
+    /* Centre the card + install promo as a group, with a gap between them. */
+    align-content: center;
+    gap: 16px;
     padding: 16px;
   }
+  /* Match the card width so the install CTA lines up under it. */
+  .promo {
+    width: min(94vw, 360px);
+  }
   .card {
     width: min(94vw, 360px);
     background: var(--surface);

ui/src/screens/Settings.svelte

@@ -10,6 +10,7 @@
   import type { ThemePref } from '../lib/theme';
   import type { BoardLabelMode } from '../lib/boardlabels';
   import { insideTelegram } from '../lib/telegram';
+  import InstallApp from '../components/InstallApp.svelte';
 
   const themes: ThemePref[] = ['auto', 'light', 'dark'];
   const themeLabel: Record<ThemePref, MessageKey> = {
@@ -73,6 +74,10 @@
       />
     </label>
   </section>
+
+  <!-- Web-only install call-to-action at the bottom of Settings (renders nothing unless the app
+       is installable here — see components/InstallApp.svelte / lib/pwa). -->
+  <InstallApp />
 </div>
 
 <style>