chore(example/llm): Update flake.lock

Flake lock file updates:

• Updated input 'nixpkgs':
    'github:nixos/nixpkgs/154bcb95ad51bc257c2ce4043a725de6ca700ef6?narHash=sha256-7pjpeQlZUNQ4eeVntytU3jkw9dFK3k1Htgk2iuXjaD8%3D' (2024-08-09)
  → 'github:nixos/nixpkgs/ae815cee91b417be55d43781eb4b73ae1ecc396c?narHash=sha256-zRkDV/nbrnp3Y8oCADf5ETl1sDrdmAW6/bBVJ8EbIdQ%3D' (2024-08-23)
• Updated input 'process-compose-flake':
    'github:Platonic-Systems/process-compose-flake/9344fac44edced4c686721686a6ad904d067c546?narHash=sha256-%2BRrlkAVZx0QhyeHAGFJnjST%2B/7Dc3zsDU3zAKXoDXaI%3D' (2024-06-10)
  → 'github:Platonic-Systems/process-compose-flake/dcf3082c74e944e5d260a6d61780aaf3aff179c8?narHash=sha256-TPGI7di%2BaL5LBlmfqGVloGUXOAwy8CRj5qsSHWiS2v4%3D' (2024-08-16)
• Updated input 'services-flake':
    'github:juspay/services-flake/e0f1539f9abeaf5613f80a2520bc74087935ad42?narHash=sha256-0JQ6PxghKNXt9LQQ1eAQ7Z60OM8QgfGOsKug2Yj8t%2BI%3D' (2024-08-05)
  → 'github:juspay/services-flake/65e88f96e17ea1e580d861ad0ed9de5e3a0e3858?narHash=sha256-mmWRnbgMyy0rfpwnNkGZDhnG10L1MUZZf9AaPJO9iNE%3D' (2024-08-20)