feat: realtime WebSocket layer for live events and streaming logs

- Backend: ConnectionManager, Redis-backed bus with in-process fallback,
  channel authorization, and typed emit helpers wired into workers
  (ai_runtime, sandbox_gateway), workforce/sandbox/billing/audit/error services.
- Frontend: single shared WS client with backoff + heartbeat, RealtimeProvider,
  useLiveChannel/useLiveEvent hooks, live indicators on task detail, manager
  chat, dashboard, traces, sandbox terminal, admin errors, and billing.
- Contracts: WsEvent/WsServerFrame/WsClientFrame types mirroring the port.

All 255 backend tests pass; web typecheck and build pass.

apps/api/app/application/services/sandbox_service.py

@@ -18,6 +18,10 @@ import contextlib
 from datetime import datetime
 
 from app.application.ports import CommandResult, SandboxProviderPort, UsageRecord
+from app.application.ports.realtime import (
+    emit_sandbox_command,
+    emit_sandbox_session,
+)
 from app.core.config import settings
 from app.core.errors import ConflictError, NotFoundError, ProviderUnavailableError, ValidationError
 from app.domain.ai_control.models import RateUnit
@@ -210,6 +214,12 @@ class SandboxService:
             )
         )
         await self.workspaces.set_status(workspace.id, WorkspaceStatus.READY)
+        await emit_sandbox_session(
+            session_id=session.id,
+            organization_id=organization_id,
+            status=SessionStatus.RUNNING.value,
+            workspace_id=workspace.id,
+        )
         return session
 
     async def get_session_or_404(
@@ -229,6 +239,11 @@ class SandboxService:
         await self.provider.destroy(session_external_id=session.external_session_id)
         await self.sessions.set_status(session.id, SessionStatus.STOPPED, stopped=True)
         refreshed = await self.sessions.get(session.id)
+        await emit_sandbox_session(
+            session_id=session.id,
+            organization_id=organization_id,
+            status=SessionStatus.STOPPED.value,
+        )
         return refreshed or session
 
     # -- commands ------------------------------------------------------------
@@ -285,6 +300,20 @@ class SandboxService:
         )
         await self.sessions.set_status(session.id, SessionStatus.RUNNING)
 
+        # Live push: the terminal panel on the project page streams the command
+        # and its output as the row is written, not on the next poll.
+        await emit_sandbox_command(
+            session_id=session.id,
+            organization_id=organization_id,
+            command_run_id=run.id,
+            command=cleaned,
+            exit_code=result.exit_code,
+            stdout=run.stdout_ref,
+            stderr=run.stderr_ref,
+            duration_ms=result.duration_ms,
+            truncated=result.truncated,
+        )
+
         # CPU seconds are billed. 1 second of wall time ~= 1 CPU second at MVP.
         cpu_seconds = max(0.0, result.duration_ms / 1000.0)
         if cpu_seconds > 0: