feat: Ctrl+1..5 terminal shortcuts and improved AgentBadge indicator

- Ctrl+1 through Ctrl+5 switch to open terminals by index
- Opens floating window automatically if closed
- AgentBadge shows active terminal state dot and index (2/3)
- Dropdown items display shortcut numbers for discoverability

frontend/src/components/FloatingTranscriptDebug.vue

@@ -432,11 +432,25 @@ watch(isOpen, async (open) => {
 })
 
 // ============================================================================
-// ZOOM KEYBOARD HANDLER
+// KEYBOARD SHORTCUTS
 // ============================================================================
 
-function handleZoomKey(e: KeyboardEvent) {
-  if (!isOpen.value || !e.ctrlKey) return
+function handleKeydown(e: KeyboardEvent) {
+  if (!e.ctrlKey) return
+
+  // Ctrl+1..5 → switch to terminal by index
+  const num = parseInt(e.key)
+  if (num >= 1 && num <= 5) {
+    const slot = openTerminals.value[num - 1]
+    if (!slot) return
+    e.preventDefault()
+    if (!isOpen.value) isOpen.value = true
+    switchToTerminal(slot.sessionId)
+    return
+  }
+
+  // Zoom shortcuts (only when open)
+  if (!isOpen.value) return
   if (e.key === '+' || e.key === '=') {
     e.preventDefault()
     zoom.value = Math.min(2, +(zoom.value + 0.1).toFixed(1))
@@ -453,7 +467,7 @@ function handleZoomKey(e: KeyboardEvent) {
 onMounted(async () => {
   checkMobile()
   window.addEventListener('resize', checkMobile)
-  document.addEventListener('keydown', handleZoomKey)
+  document.addEventListener('keydown', handleKeydown)
   oceanLifeTimer = setInterval(tickOceanLife, 20000)
   tickOceanLife()
   await voice.init()
@@ -463,7 +477,7 @@ onBeforeUnmount(() => {
   if (oceanLifeTimer) clearInterval(oceanLifeTimer)
   disconnectRealtime()
   voice.cleanup()
-  document.removeEventListener('keydown', handleZoomKey)
+  document.removeEventListener('keydown', handleKeydown)
   document.removeEventListener('mousemove', onDrag)
   document.removeEventListener('mouseup', stopDrag)
   document.removeEventListener('mousemove', onResize)
@@ -1203,6 +1217,8 @@ onBeforeUnmount(() => {
   color: rgba(255,255,255,0.85);
   font-family: 'Courier New', monospace;
   font-size: 12px;
+  line-height: 1.5;
+  field-sizing: content;
 }
 
 /* Send button: pixel art daytime ocean, no border */