chore(example/llm): Update flake.lock

Flake lock file updates:

• Updated input 'flake-parts':
    'github:hercules-ci/flake-parts/3d04084d54bedc3d6b8b736c70ef449225c361b1?narHash=sha256-K5ZLCyfO/Zj9mPFldf3iwS6oZStJcU4tSpiXTMYaaL0%3D' (2024-10-01)
  → 'github:hercules-ci/flake-parts/506278e768c2a08bec68eb62932193e341f55c90?narHash=sha256-hgmguH29K2fvs9szpq2r3pz2/8cJd2LPS%2Bb4tfNFCwE%3D' (2024-11-01)
• Updated input 'flake-parts/nixpkgs-lib':
    'https://github.com/NixOS/nixpkgs/archive/fb192fec7cc7a4c26d51779e9bab07ce6fa5597a.tar.gz?narHash=sha256-0xHYkMkeLVQAMa7gvkddbPqpxph%2BhDzdu1XdGPJR%2BOs%3D' (2024-10-01)
  → 'https://github.com/NixOS/nixpkgs/archive/cc2f28000298e1269cea6612cd06ec9979dd5d7f.tar.gz?narHash=sha256-lXvH/vOfb4aGYyvFmZK/HlsNsr/0CVWlwYvo2rxJk3s%3D' (2024-11-01)
• Updated input 'nixpkgs':
    'github:nixos/nixpkgs/b69de56fac8c2b6f8fd27f2eca01dcda8e0a4221?narHash=sha256-f0SBJz1eZ2yOuKUr5CA9BHULGXVSn6miBuUWdTyhUhU%3D' (2024-10-10)
  → 'github:nixos/nixpkgs/2d2a9ddbe3f2c00747398f3dc9b05f7f2ebb0f53?narHash=sha256-B5WRZYsRlJgwVHIV6DvidFN7VX7Fg9uuwkRW9Ha8z%2Bw%3D' (2024-10-30)
• Updated input 'process-compose-flake':
    'github:Platonic-Systems/process-compose-flake/22f2aeb7e0b88006d1d27065f8422f2790d99e47?narHash=sha256-/3az0h2Zp02bjJQKliR0PEQiT%2BFMLOR1GumhH42jA4w%3D' (2024-09-30)
  → 'github:Platonic-Systems/process-compose-flake/7241e6b247b65cfa579d6f838a8efc18e5401924?narHash=sha256-ir7WTVpG999N07wkOCs1kwZsQKitOv3CNDqNalCMK3c%3D' (2024-10-21)
• Updated input 'services-flake':
    'github:juspay/services-flake/0a3a5c7fcacb2852b578924bfe69037dee16547e?narHash=sha256-QKis7GDObQ9EQSLEN8z7WFnwCLLimuzfYB4CzKngtQE%3D' (2024-10-12)
  → 'github:juspay/services-flake/deaa2b81d07d2e7ec2ee74e91e17020d31bf3cb7?narHash=sha256-e3iGQvR89XYmEyGQ4s3TPBa9xdeKziGkxgbZqIauGT0%3D' (2024-10-27)