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.

website/docs/user-guide/tui.md

@@ -48,7 +48,7 @@ The classic CLI remains available as the default. Anything documented in [CLI In
 - **Alternate-screen rendering** — differential updates mean no flicker when streaming, no scrollback clutter after you quit.
 - **Composer affordances** — inline paste-collapse for long snippets, image paste from the clipboard (`Alt+V`), bracketed-paste safety.
 
-Same [skins](features/skins.md) and [personalities](features/personality.md) apply. Switch mid-session with `/skin ares`, `/personality pirate`, `/theme daylight`, and the UI repaints live.
+Same [skins](features/skins.md) and [personalities](features/personality.md) apply. Switch mid-session with `/skin ares`, `/personality pirate`, and the UI repaints live. Skin keys are marked `(both)`, `(classic)`, or `(tui)` in [`example-skin.yaml`](https://github.com/NousResearch/hermes-agent/blob/main/docs/skins/example-skin.yaml) so you can see at a glance what applies where — the TUI honors the banner palette, UI colors, prompt glyph/color, session display, completion menu, selection bg, `tool_prefix`, and `help_header`.
 
 ## Requirements