chore(example/llm): Update flake.lock

Flake lock file updates:

• Updated input 'flake-parts':
    'github:hercules-ci/flake-parts/8471fe90ad337a8074e957b69ca4d0089218391d?narHash=sha256-XOQkdLafnb/p9ij77byFQjDf5m5QYl9b2REiVClC%2Bx4%3D' (2024-08-01)
  → 'github:hercules-ci/flake-parts/af510d4a62d071ea13925ce41c95e3dec816c01d?narHash=sha256-ODYRm8zHfLTH3soTFWE452ydPYz2iTvr9T8ftDMUQ3E%3D' (2024-08-30)
• Updated input 'nixpkgs':
    'github:nixos/nixpkgs/ae815cee91b417be55d43781eb4b73ae1ecc396c?narHash=sha256-zRkDV/nbrnp3Y8oCADf5ETl1sDrdmAW6/bBVJ8EbIdQ%3D' (2024-08-23)
  → 'github:nixos/nixpkgs/5629520edecb69630a3f4d17d3d33fc96c13f6fe?narHash=sha256-CHgumPZaC7z%2BWYx72WgaLt2XF0yUVzJS60rO4GZ7ytY%3D' (2024-08-31)
• Updated input 'process-compose-flake':
    'github:Platonic-Systems/process-compose-flake/dcf3082c74e944e5d260a6d61780aaf3aff179c8?narHash=sha256-TPGI7di%2BaL5LBlmfqGVloGUXOAwy8CRj5qsSHWiS2v4%3D' (2024-08-16)
  → 'github:Platonic-Systems/process-compose-flake/f6ce9481df9aec739e4e06b67492401a5bb4f0b1?narHash=sha256-rdGeNa/lCS8E1lXzPqgl%2BvZUUvnbEZT11Bqkx5jfYug%3D' (2024-08-25)
• Updated input 'services-flake':
    'github:juspay/services-flake/65e88f96e17ea1e580d861ad0ed9de5e3a0e3858?narHash=sha256-mmWRnbgMyy0rfpwnNkGZDhnG10L1MUZZf9AaPJO9iNE%3D' (2024-08-20)
  → 'github:juspay/services-flake/dcb5db918288ccb5319f2f78a69e851559103c0a?narHash=sha256-xJweq5KMqqbCfXWnJg3QEfHFUN5/%2Bd3Fx53t20FBDAI%3D' (2024-08-27)