feat(v0.3): keybar Claude shortcuts + scrollback search + clickable links

- keybar: add Esc·Esc / ^O / ^T / ^B + per-button tooltips (KEY_MAP 14 keys)
- M1 search: @xterm/addon-search per terminal; 🔍 toolbar button + search box
  (Enter=next, Shift+Enter=prev, Esc=close)
- M2 links: @xterm/addon-web-links per terminal (tap URLs Claude prints)
- tab bar split into #tabs (scrollable) + #toolbar (utility cluster) for future
  utilities (QR/settings/dashboard)
- Browser-verified: 14 keybar buttons, search highlights matches, no console errors.
  199 tests green, typechecks + build ok.

public/main.ts

@@ -1,27 +1,34 @@
 /**
  * public/main.ts — esbuild entry point for the browser frontend.
  *
- * Bootstraps the multi-tab app: a tab bar (#tabbar) over a stack of terminal
- * panes (#term), each tab an independent TerminalSession (own WS + server
- * session). The mobile key bar routes input to the active tab.
+ * Bootstraps the multi-tab app: a tab bar (#tabs) + a utility toolbar (#toolbar)
+ * over a stack of terminal panes (#term), each tab an independent TerminalSession.
+ * The mobile key bar routes input to the active tab.
  *
  * Per-session terminal/WS/reconnect logic lives in terminal-session.ts;
  * tab management + persistence in tabs.ts.
  */
 
-// CSS side-effect import processed by esbuild (→ public/build/main.css).
-// tsc cannot resolve CSS paths; @ts-ignore suppresses the single diagnostic.
-// @ts-ignore
+// @ts-ignore  CSS side-effect import processed by esbuild (→ public/build/main.css).
 import '@xterm/xterm/css/xterm.css'
 import { mountKeybar } from './keybar.js'
 import { TabApp } from './tabs.js'
+import { mountSearch } from './search.js'
 
 const paneHost = document.getElementById('term')
-const tabBar = document.getElementById('tabbar')
+const tabs = document.getElementById('tabs')
+const toolbar = document.getElementById('toolbar')
 if (!paneHost) throw new Error('#term element not found in DOM')
-if (!tabBar) throw new Error('#tabbar element not found in DOM')
+if (!tabs) throw new Error('#tabs element not found in DOM')
+if (!toolbar) throw new Error('#toolbar element not found in DOM')
 
-const app = new TabApp(paneHost, tabBar)
+const app = new TabApp(paneHost, tabs)
 
-// Key bar (mobile) sends to whichever tab is active.
+// Key bar (mobile + desktop) sends to whichever tab is active.
 mountKeybar((data) => app.sendToActive(data))
+
+// Toolbar utilities.
+mountSearch(toolbar, {
+  find: (query, dir) => app.findInActive(query, dir),
+  clear: () => app.clearActiveSearch(),
+})