Consolidate chat timeline events + auto-end inactive sessions

Timeline consolidation:
- Replace multiple LIVE_CHAT_STARTED/ENDED events with single LIVE_CHAT_SUMMARY
- Show total duration accumulated across all sessions
- Display session count (e.g., "23min 15s total - 3 sessoes")
- Show "Ativo" badge when session is active

Auto-end inactive chat sessions:
- Add cron job running every minute to check inactive sessions
- Automatically end sessions after 5 minutes of client inactivity
- Mark auto-ended sessions with "(encerrado por inatividade)" flag

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

src/components/tickets/ticket-timeline.tsx

@@ -54,6 +54,7 @@ const timelineIcons: Record<string, ComponentType<{ className?: string }>> = {
   TICKET_LINKED: IconLink,
   LIVE_CHAT_STARTED: IconMessage,
   LIVE_CHAT_ENDED: IconMessage,
+  LIVE_CHAT_SUMMARY: IconMessage,
 }
 
 const timelineLabels: Record<string, string> = TICKET_TIMELINE_LABELS
@@ -637,6 +638,7 @@ export function TicketTimeline({ ticket }: TicketTimelineProps) {
                   if (entry.type === "LIVE_CHAT_ENDED") {
                     const agentName = (payload as { agentName?: string }).agentName
                     const durationMs = (payload as { durationMs?: number }).durationMs
+                    const autoEnded = (payload as { autoEnded?: boolean }).autoEnded
                     const durationFormatted = typeof durationMs === "number" ? formatDuration(durationMs) : null
                     message = (
                       <div className="space-y-1">
@@ -647,15 +649,48 @@ export function TicketTimeline({ ticket }: TicketTimelineProps) {
                               {" "}por <span className="font-semibold text-neutral-900">{agentName}</span>
                             </>
                           )}
+                          {autoEnded && (
+                            <span className="text-neutral-500"> (encerrado por inatividade)</span>
+                          )}
                         </span>
                         {durationFormatted && (
                           <span className="block text-xs text-neutral-500">
-                            Duração: {durationFormatted}
+                            Duracao: {durationFormatted}
                           </span>
                         )}
                       </div>
                     )
                   }
+                  if (entry.type === "LIVE_CHAT_SUMMARY") {
+                    const chatPayload = payload as {
+                      sessionCount?: number
+                      totalDurationMs?: number
+                      agentName?: string
+                      hasActiveSession?: boolean
+                    }
+                    const sessionCount = chatPayload.sessionCount ?? 1
+                    const totalDurationMs = chatPayload.totalDurationMs ?? 0
+                    const durationFormatted = totalDurationMs > 0 ? formatDuration(totalDurationMs) : null
+                    const sessionLabel = sessionCount === 1 ? "sessao" : "sessoes"
+                    message = (
+                      <div className="space-y-1">
+                        <span className="block text-sm text-neutral-600">
+                          <span className="font-semibold text-neutral-800">Chat ao vivo</span>
+                          {chatPayload.hasActiveSession && (
+                            <span className="ml-2 inline-flex items-center gap-1 rounded-full bg-emerald-100 px-2 py-0.5 text-xs font-medium text-emerald-700">
+                              <span className="size-1.5 rounded-full bg-emerald-500 animate-pulse" />
+                              Ativo
+                            </span>
+                          )}
+                        </span>
+                        <span className="block text-xs text-neutral-500">
+                          {durationFormatted ? `${durationFormatted} total` : ""}
+                          {durationFormatted && sessionCount > 0 ? " • " : ""}
+                          {sessionCount} {sessionLabel}
+                        </span>
+                      </div>
+                    )
+                  }
                   if (!message) return null
 
                   return (

src/lib/ticket-timeline-labels.ts

@@ -24,4 +24,5 @@ export const TICKET_TIMELINE_LABELS: Record<string, string> = {
   CUSTOM_FIELDS_UPDATED: "Campos personalizados atualizados",
   LIVE_CHAT_STARTED: "Chat iniciado",
   LIVE_CHAT_ENDED: "Chat finalizado",
+  LIVE_CHAT_SUMMARY: "Chat ao vivo",
 };