Hide username and logout on LAN clients in control header.

Co-authored-by: Cursor <cursoragent@cursor.com>

control/backend/app/api/auth_routes.py

@@ -86,15 +86,20 @@ async def login(
 
 @router.get("/me")
 async def me(
+    request: Request,
     username: Annotated[str, Depends(require_control_user)],
     settings: Annotated[ControlSettings, Depends(get_control_settings)],
 ) -> dict:
+    ip = client_ip(request)
+    lan = is_lan_ip(ip)
     return {
         "username": username,
         "poll_interval_sec": settings.control_poll_interval_sec,
         "sse_interval_sec": settings.control_sse_interval_sec,
         "show_default_hint": settings.is_default_credentials,
         "lan_bypass_enabled": settings.lan_auth_bypass,
+        "lan_client": lan,
+        "client_ip": ip or None,
     }