chore(example/llm): Update flake.lock

Flake lock file updates:

• Updated input 'flake-parts':
    'github:hercules-ci/flake-parts/567b938d64d4b4112ee253b9274472dc3a346eb6?narHash=sha256-%2Bebgonl3NbiKD2UD0x4BszCZQ6sTfL4xioaM49o5B3Y%3D' (2024-09-01)
  → 'github:hercules-ci/flake-parts/bcef6817a8b2aa20a5a6dbb19b43e63c5bf8619a?narHash=sha256-HO4zgY0ekfwO5bX0QH/3kJ/h4KvUDFZg8YpkNwIbg1U%3D' (2024-09-12)
• Updated input 'nixpkgs':
    'github:nixos/nixpkgs/9bb1e7571aadf31ddb4af77fc64b2d59580f9a39?narHash=sha256-Yd0FK9SkWy%2BZPuNqUgmVPXokxDgMJoGuNpMEtkfcf84%3D' (2024-09-05)
  → 'github:nixos/nixpkgs/01f064c99c792715054dc7a70e4c1626dbbec0c3?narHash=sha256-3//V84fYaGVncFImitM6lSAliRdrGayZLdxWlpcuGk0%3D' (2024-09-13)
• Updated input 'services-flake':
    'github:juspay/services-flake/fbede4cbfd0f432ddb41e4cbe34acf93b76851a0?narHash=sha256-05jRFTaESYbUb6%2BC1/pstarDGZLCrrwtM8%2BNJwSL4Us%3D' (2024-09-07)
  → 'github:juspay/services-flake/37176c49c20a01999abdf256c9e71bf69a372329?narHash=sha256-3NxsWGgCp6x8ZI8Pskw3bwKkCB5lKbdVnY5nhfiVbZw%3D' (2024-09-08)