Stage 7 polish (round 2b): tab-bar spacing + hint badge on icon corner (items 2,3)

ui/src/components/TabBar.svelte

@@ -26,10 +26,10 @@
     display: flex;
     flex-direction: column;
     align-items: center;
-    gap: 2px;
+    gap: 0;
     background: none;
     border: none;
-    padding: 2px 0;
+    padding: 1px 0;
     color: var(--text);
     width: 100%;
     user-select: none;
@@ -38,13 +38,15 @@
   :global(.tab:disabled) {
     opacity: 0.4;
   }
+  /* The icon square hugs the emoji (just a little padding) so it is the press-highlight
+     target and the badge can sit on its corner. */
   :global(.tab .sq) {
-    width: 48px;
-    height: 40px;
-    display: grid;
+    position: relative;
+    display: inline-grid;
     place-items: center;
+    padding: 3px 10px;
     border-radius: 12px;
-    font-size: 1.5rem;
+    font-size: 1.75rem;
     line-height: 1;
     transition: background-color 0.12s;
   }

ui/src/game/Game.svelte

@@ -693,14 +693,17 @@
   }
   .badge {
     position: absolute;
-    top: 0;
-    right: 4px;
-    font-size: 0.6rem;
+    top: -3px;
+    right: -3px;
+    font-size: 0.68rem;
+    font-weight: 700;
     background: var(--accent);
     color: var(--accent-text);
     border-radius: 999px;
-    padding: 0 4px;
-    line-height: 1.3;
+    min-width: 15px;
+    padding: 0 3px;
+    line-height: 1.4;
+    text-align: center;
   }
   .loading {
     text-align: center;