chore(example): Update llm/flake.lock

Flake lock file updates:

• Updated input 'flake-parts':

'github:hercules-ci/flake-parts/2a55567fcf15b1b1c7ed712a2c6fadaec7412ea8?narHash=sha256-iKzJcpdXih14qYVcZ9QC9XuZYnPc6T8YImb6dX166kw%3D'
(2024-06-01)
  →
'github:hercules-ci/flake-parts/9227223f6d922fee3c7b190b2cc238a99527bbb7?narHash=sha256-pQMhCCHyQGRzdfAkdJ4cIWiw%2BJNuWsTX7f0ZYSyz0VY%3D'
(2024-07-03)
• Updated input 'flake-parts/nixpkgs-lib':

'https://github.com/NixOS/nixpkgs/archive/eb9ceca17df2ea50a250b6b27f7bf6ab0186f198.tar.gz?narHash=sha256-lIbdfCsf8LMFloheeE6N31%2BBMIeixqyQWbSr2vk79EQ%3D'
(2024-06-01)
  →
'https://github.com/NixOS/nixpkgs/archive/5daf0514482af3f97abaefc78a6606365c9108e2.tar.gz?narHash=sha256-Fm2rDDs86sHy0/1jxTOKB1118Q0O3Uc7EC0iXvXKpbI%3D'
(2024-07-01)
• Updated input 'nixpkgs':

'github:nixos/nixpkgs/e913ae340076bbb73d9f4d3d065c2bca7caafb16?narHash=sha256-Ds1QpobBX2yoUDx9ZruqVGJ/uQPgcXoYuobBguyKEh8%3D'
(2024-06-11)
  →
'github:nixos/nixpkgs/8b5a3d5a1d951344d683b442c0739010b80039db?narHash=sha256-po3TZO9kcZwzvkyMJKb0WCzzDtiHWD34XeRaX1lWXp0%3D'
(2024-07-12)
• Updated input 'services-flake':

'github:juspay/services-flake/8145ba10cb02dc0a843bba371fc2d42cea7fd226?narHash=sha256-zt90gLaSJdj6XbzZkQKyRE/DFWOKlIkByrodOQu9R9s%3D'
(2024-06-24)
  →
'github:juspay/services-flake/632661f5124dcd243c69a88d39212f07f67b3ab8?narHash=sha256-3y8ODlCbufPTnmqvu%2BrtTTHqmJjJhvy8BrDIAacccFU%3D'
(2024-07-14)