feat(brand): roll out master app icon, splash & branded loaders everywhere

From brand-assets/ masters (C + orbiting-dot on brand blue):
- Regenerated PWA icons (192/512/maskable), apple-touch (180), favicons
  (32/16 + root favicon.ico) from the 1024 master; bumped manifest to v3.
- Rebuilt desktop/build/icon.ico as a proper multi-size ICO (16..256,
  PNG-compressed) to fix the tiny/blurry taskbar icon.
- Updated mobile masters (resources/icon.png 1024, splash.png/splash-dark.png
  2732) for capacitor-assets to regenerate native icons/splash.
- Wired the animated branded orbit loader into the app boot 'Loading…' screen;
  added favicon/theme-color links to index + home heads.
- logo.png (horizontal wordmark) left untouched — masters have no wordmark.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

server/public/home.html

@@ -7,7 +7,9 @@
 <!-- PWA: installable on Android & iOS ("Add to Home Screen"); also enables iOS web push -->
 <link rel="manifest" href="/manifest.json">
 <meta name="theme-color" content="#1F3B73">
-<link rel="apple-touch-icon" href="/apple-touch-icon.png?v=2">
+<link rel="icon" type="image/png" sizes="32x32" href="/favicon-32.png?v=3">
+<link rel="icon" type="image/png" sizes="16x16" href="/favicon-16.png?v=3">
+<link rel="apple-touch-icon" href="/apple-touch-icon.png?v=3">
 <meta name="apple-mobile-web-app-capable" content="yes">
 <meta name="mobile-web-app-capable" content="yes">
 <meta name="apple-mobile-web-app-status-bar-style" content="black-translucent">
@@ -666,6 +668,8 @@
 
   /* ---- Loading / toast ---- */
   .loading{position:fixed;inset:0;display:grid;place-items:center;background:var(--bg);z-index:9000;color:var(--muted);font-size:.9rem;}
+  .loading .ld-inner{display:flex;flex-direction:column;align-items:center;gap:.9rem;}
+  .loading .ld-inner img{width:64px;height:64px;}
   .toast{position:fixed;left:50%;bottom:1.6rem;transform:translateX(-50%) translateY(1rem);background:var(--blue);color:#fff;padding:.7rem 1.2rem;border-radius:10px;font-size:.88rem;box-shadow:0 10px 28px rgba(0,0,0,.22);opacity:0;pointer-events:none;transition:opacity .2s,transform .2s;z-index:9500;}
   .toast.show{opacity:1;transform:translateX(-50%) translateY(0);}
 
@@ -740,7 +744,7 @@
 // Render modern (Twemoji) emojis in place of the OS's flat ones. No-op if the CDN didn't load
 // (emojis stay as plain Unicode). (#5)
 function twemojify(el){ try{ if(el && window.twemoji) window.twemoji.parse(el, { folder:'svg', ext:'.svg' }); }catch(_){} }</script>
-<div class="loading" id="loading">Loading…</div>
+<div class="loading" id="loading"><div class="ld-inner"><img src="/loader-orbit.svg" alt="" width="64" height="64"><span>Loading…</span></div></div>
 
 <header>
   <div class="brandrow">