feat(tui): put the kawaii face+verb ticker in the status bar, not the thinking panel

The status bar was showing stale lifecycle text ("running…") while the
face+verb stream flickered through the thinking panel as Python pushed
thinking.delta events. That's backwards — the face ticker is the
primary "I'm alive" signal, it belongs in the status bar; the thinking
panel is for substantive reasoning and tool activity.

Status bar now reads `ui.busy`: when true, renders a local `<FaceTicker>`
cycling FACES × VERBS on a 2.5s interval, unaffected by server events.
When false, the bar shows the actual status string (ready, starting
agent…, interrupted, etc.).

Side effect: `scheduleThinkingStatus` still patches `ui.status` with
Python's face text, but while busy the bar ignores that string and uses
the ticker instead. No server-side changes needed — Python keeps
emitting thinking.delta as a liveness heartbeat, the TUI just doesn't
let it fight the status bar.

ui-tui/src/app/createGatewayEventHandler.ts

@@ -16,7 +16,16 @@ const ERRLIKE_RE = /\b(error|traceback|exception|failed|spawn)\b/i
 const statusFromBusy = () => (getUiState().busy ? 'running…' : 'ready')
 
 const applySkin = (s: GatewaySkin) =>
-  patchUiState({ theme: fromSkin(s.colors ?? {}, s.branding ?? {}, s.banner_logo ?? '', s.banner_hero ?? '') })
+  patchUiState({
+    theme: fromSkin(
+      s.colors ?? {},
+      s.branding ?? {},
+      s.banner_logo ?? '',
+      s.banner_hero ?? '',
+      s.tool_prefix ?? '',
+      s.help_header ?? ''
+    )
+  })
 
 const dropBgTask = (taskId: string) =>
   patchUiState(state => {