chore(example/llm): Update flake.lock

Flake lock file updates:

• Updated input 'flake-parts':
    'github:hercules-ci/flake-parts/9227223f6d922fee3c7b190b2cc238a99527bbb7?narHash=sha256-pQMhCCHyQGRzdfAkdJ4cIWiw%2BJNuWsTX7f0ZYSyz0VY%3D' (2024-07-03)
  → 'github:hercules-ci/flake-parts/8471fe90ad337a8074e957b69ca4d0089218391d?narHash=sha256-XOQkdLafnb/p9ij77byFQjDf5m5QYl9b2REiVClC%2Bx4%3D' (2024-08-01)
• Updated input 'flake-parts/nixpkgs-lib':
    'https://github.com/NixOS/nixpkgs/archive/5daf0514482af3f97abaefc78a6606365c9108e2.tar.gz?narHash=sha256-Fm2rDDs86sHy0/1jxTOKB1118Q0O3Uc7EC0iXvXKpbI%3D' (2024-07-01)
  → 'https://github.com/NixOS/nixpkgs/archive/a5d394176e64ab29c852d03346c1fc9b0b7d33eb.tar.gz?narHash=sha256-uFf2QeW7eAHlYXuDktm9c25OxOyCoUOQmh5SZ9amE5Q%3D' (2024-08-01)
• Updated input 'nixpkgs':
    'github:nixos/nixpkgs/e36e9f57337d0ff0cf77aceb58af4c805472bfae?narHash=sha256-OpX0StkL8vpXyWOGUD6G%2BMA26wAXK6SpT94kLJXo6B4%3D' (2024-07-27)
  → 'github:nixos/nixpkgs/154bcb95ad51bc257c2ce4043a725de6ca700ef6?narHash=sha256-7pjpeQlZUNQ4eeVntytU3jkw9dFK3k1Htgk2iuXjaD8%3D' (2024-08-09)
• Updated input 'services-flake':
    'github:juspay/services-flake/8a547f08687a71d9f01f87a10ec4c5618db6efc5?narHash=sha256-iKJZFOwtBt09z/AAN/tZn6k8etGt3PQ%2BdIQAHX8Vzds%3D' (2024-07-28)
  → 'github:juspay/services-flake/e0f1539f9abeaf5613f80a2520bc74087935ad42?narHash=sha256-0JQ6PxghKNXt9LQQ1eAQ7Z60OM8QgfGOsKug2Yj8t%2BI%3D' (2024-08-05)