Agent config in auth.ok + provider/max_concurrent_tasks in AgentConfig

- auth.ok now includes agent_config for agent members
- AgentConfig model: added provider, max_concurrent_tasks columns
- Fixed project_id injection in WS handler (syntax error)
- capabilities read from AgentConfig, not Member

src/tracker/models/member.py

@@ -48,5 +48,7 @@ class AgentConfig(Base):
     task_listen: Mapped[str] = mapped_column(String(20), default=ListenMode.MENTIONS)  # all | mentions | none
     prompt: Mapped[str | None] = mapped_column(Text)
     model: Mapped[str | None] = mapped_column(String(100))
+    provider: Mapped[str | None] = mapped_column(String(50))
+    max_concurrent_tasks: Mapped[int] = mapped_column(default=2)
 
     member: Mapped["Member"] = relationship(back_populates="agent_config")

src/tracker/ws/handler.py

@@ -232,15 +232,31 @@ async def _authenticate(ws: WebSocket, token: str, on_behalf_of: str | None = No
                 seen.add(s.member_id)
                 online_list.append({"id": s.member_id, "slug": s.member_slug})
 
-        await ws.send_json({
-            "type": WSEventType.AUTH_OK,
-            "data": {
+        auth_data: dict = {
             "member_id": str(effective_member.id),
             "slug": effective_member.slug,
+            "name": effective_member.name,
             "lobby_chat_id": str(lobby_chat.id) if lobby_chat else None,
             "projects": project_list,
             "online": online_list,
-            },
+        }
+
+        # For agents: include full config from DB
+        if effective_member.agent_config:
+            ac = effective_member.agent_config
+            auth_data["agent_config"] = {
+                "model": ac.model,
+                "provider": ac.provider,
+                "prompt": ac.prompt,
+                "chat_listen": ac.chat_listen,
+                "task_listen": ac.task_listen,
+                "max_concurrent_tasks": ac.max_concurrent_tasks,
+                "capabilities": ac.capabilities or [],
+            }
+
+        await ws.send_json({
+            "type": WSEventType.AUTH_OK,
+            "data": auth_data,
         })
 
         # Notify others
@@ -324,6 +340,12 @@ async def _handle_chat_send(session_id: str, data: dict):
             chat = chat_result.scalar_one_or_none()
             if chat and chat.project_id:
                 project_id = str(chat.project_id)
+            elif chat and chat.kind == ChatKind.LOBBY:
+                await manager.broadcast_all(
+                    {"type": WSEventType.MESSAGE_NEW, "data": msg_data},
+                    exclude_member_id=client.member_id,
+                )
+                return
         elif task_id:
             from ..models import Task as TaskModel
             task_result = await db.execute(select(TaskModel).where(TaskModel.id == uuid.UUID(task_id)))
@@ -333,12 +355,6 @@ async def _handle_chat_send(session_id: str, data: dict):
 
         if project_id:
             msg_data["project_id"] = project_id
-            elif chat and chat.kind == ChatKind.LOBBY:
-                await manager.broadcast_all(
-                    {"type": WSEventType.MESSAGE_NEW, "data": msg_data},
-                    exclude_member_id=client.member_id,
-                )
-                return
 
         if project_id:
             await manager.broadcast_message(