chore(example/llm): Update flake.lock

Flake lock file updates:

• Updated input 'flake-parts':
    'github:hercules-ci/flake-parts/bcef6817a8b2aa20a5a6dbb19b43e63c5bf8619a?narHash=sha256-HO4zgY0ekfwO5bX0QH/3kJ/h4KvUDFZg8YpkNwIbg1U%3D' (2024-09-12)
  → 'github:hercules-ci/flake-parts/3d04084d54bedc3d6b8b736c70ef449225c361b1?narHash=sha256-K5ZLCyfO/Zj9mPFldf3iwS6oZStJcU4tSpiXTMYaaL0%3D' (2024-10-01)
• Updated input 'flake-parts/nixpkgs-lib':
    'https://github.com/NixOS/nixpkgs/archive/356624c12086a18f2ea2825fed34523d60ccc4e3.tar.gz?narHash=sha256-Ss8QWLXdr2JCBPcYChJhz4xJm%2Bh/xjl4G0c0XlP6a74%3D' (2024-09-01)
  → 'https://github.com/NixOS/nixpkgs/archive/fb192fec7cc7a4c26d51779e9bab07ce6fa5597a.tar.gz?narHash=sha256-0xHYkMkeLVQAMa7gvkddbPqpxph%2BhDzdu1XdGPJR%2BOs%3D' (2024-10-01)
• Updated input 'nixpkgs':
    'github:nixos/nixpkgs/a1d92660c6b3b7c26fb883500a80ea9d33321be2?narHash=sha256-V5LpfdHyQkUF7RfOaDPrZDP%2Boqz88lTJrMT1%2BstXNwo%3D' (2024-09-20)
  → 'github:nixos/nixpkgs/b69de56fac8c2b6f8fd27f2eca01dcda8e0a4221?narHash=sha256-f0SBJz1eZ2yOuKUr5CA9BHULGXVSn6miBuUWdTyhUhU%3D' (2024-10-10)
• Updated input 'process-compose-flake':
    'github:Platonic-Systems/process-compose-flake/f6ce9481df9aec739e4e06b67492401a5bb4f0b1?narHash=sha256-rdGeNa/lCS8E1lXzPqgl%2BvZUUvnbEZT11Bqkx5jfYug%3D' (2024-08-25)
  → 'github:Platonic-Systems/process-compose-flake/22f2aeb7e0b88006d1d27065f8422f2790d99e47?narHash=sha256-/3az0h2Zp02bjJQKliR0PEQiT%2BFMLOR1GumhH42jA4w%3D' (2024-09-30)
• Updated input 'services-flake':
    'github:juspay/services-flake/5960a2c553ba6f5efec8d6aad64219c8fa036e50?narHash=sha256-XTPhu4CKydPlJJJIAH7XtWDRTvEAV5podwWenI9OvGY%3D' (2024-09-18)
  → 'github:juspay/services-flake/0a3a5c7fcacb2852b578924bfe69037dee16547e?narHash=sha256-QKis7GDObQ9EQSLEN8z7WFnwCLLimuzfYB4CzKngtQE%3D' (2024-10-12)