feat: update application icons and improve app start to automatically open a new session draft

packages/web/public/favicon.svg

@@ -1,15 +1,15 @@
 <svg width="32" height="32" viewBox="0 0 32 32" xmlns="http://www.w3.org/2000/svg">
-  <!-- Simplified isometric cube for favicon - maximized -->
-  <g transform="translate(16, 15.5) scale(0.50)">
-    <!-- Left face -->
-    <path d="M0 0 L-26 -15 L-26 15 L0 30 Z" fill="white" fill-opacity="0.25" stroke="white" stroke-width="2.5" stroke-linejoin="round"/>
-    <!-- Right face -->
-    <path d="M0 0 L26 -15 L26 15 L0 30 Z" fill="white" fill-opacity="0.4" stroke="white" stroke-width="2.5" stroke-linejoin="round"/>
+  <!-- OpenChamber logo - simplified for favicon -->
+  <g transform="translate(16, 16) scale(0.48)">
+    <!-- Left face - with fill -->
+    <path d="M0 0 L-26 -15 L-26 15 L0 30 Z" fill="white" fill-opacity="0.25" stroke="white" stroke-width="4" stroke-linejoin="round"/>
+    <!-- Right face - with fill -->
+    <path d="M0 0 L26 -15 L26 15 L0 30 Z" fill="white" fill-opacity="0.4" stroke="white" stroke-width="4" stroke-linejoin="round"/>
     <!-- Top face - open -->
-    <path d="M0 -30 L-26 -15 L0 0 L26 -15 Z" fill="none" stroke="white" stroke-width="2.5" stroke-linejoin="round"/>
-    <!-- O logo - hollow rectangle frame on top face -->
-    <g transform="matrix(0.866, 0.5, -0.866, 0.5, 0, -15) scale(0.45)">
-      <rect x="-12" y="-14" width="24" height="28" fill="none" stroke="white" stroke-width="6"/>
+    <path d="M0 -30 L-26 -15 L0 0 L26 -15 Z" fill="none" stroke="white" stroke-width="4" stroke-linejoin="round"/>
+    <!-- O logo - hollow rectangle frame on top face with gray fill inside -->
+    <g transform="matrix(0.866, 0.5, -0.866, 0.5, 0, -15) scale(0.55)">
+      <rect x="-12" y="-14" width="24" height="28" fill="white" fill-opacity="0.4" stroke="white" stroke-width="8"/>
     </g>
   </g>
 </svg>