chore(example/llm): Update flake.lock

Flake lock file updates:

• Updated input 'flake-parts':

'github:hercules-ci/flake-parts/3d04084d54bedc3d6b8b736c70ef449225c361b1?narHash=sha256-K5ZLCyfO/Zj9mPFldf3iwS6oZStJcU4tSpiXTMYaaL0%3D'
(2024-10-01)
  →
'github:hercules-ci/flake-parts/506278e768c2a08bec68eb62932193e341f55c90?narHash=sha256-hgmguH29K2fvs9szpq2r3pz2/8cJd2LPS%2Bb4tfNFCwE%3D'
(2024-11-01)
• Updated input 'flake-parts/nixpkgs-lib':

'https://github.com/NixOS/nixpkgs/archive/fb192fec7cc7a4c26d51779e9bab07ce6fa5597a.tar.gz?narHash=sha256-0xHYkMkeLVQAMa7gvkddbPqpxph%2BhDzdu1XdGPJR%2BOs%3D'
(2024-10-01)
  →
'https://github.com/NixOS/nixpkgs/archive/cc2f28000298e1269cea6612cd06ec9979dd5d7f.tar.gz?narHash=sha256-lXvH/vOfb4aGYyvFmZK/HlsNsr/0CVWlwYvo2rxJk3s%3D'
(2024-11-01)
• Updated input 'nixpkgs':

'github:nixos/nixpkgs/b69de56fac8c2b6f8fd27f2eca01dcda8e0a4221?narHash=sha256-f0SBJz1eZ2yOuKUr5CA9BHULGXVSn6miBuUWdTyhUhU%3D'
(2024-10-10)
  →
'github:nixos/nixpkgs/5083ec887760adfe12af64830a66807423a859a7?narHash=sha256-D1FNZ70NmQEwNxpSSdTXCSklBH1z2isPR84J6DQrJGs%3D'
(2024-11-18)
• Updated input 'process-compose-flake':

'github:Platonic-Systems/process-compose-flake/22f2aeb7e0b88006d1d27065f8422f2790d99e47?narHash=sha256-/3az0h2Zp02bjJQKliR0PEQiT%2BFMLOR1GumhH42jA4w%3D'
(2024-09-30)
  →
'github:Platonic-Systems/process-compose-flake/018783e68c89f94dbe11ce918d6206e9e4138787?narHash=sha256-ir7WTVpG999N07wkOCs1kwZsQKitOv3CNDqNalCMK3c%3D'
(2024-11-08)
• Updated input 'services-flake':

'github:juspay/services-flake/0a3a5c7fcacb2852b578924bfe69037dee16547e?narHash=sha256-QKis7GDObQ9EQSLEN8z7WFnwCLLimuzfYB4CzKngtQE%3D'
(2024-10-12)
  →
'github:juspay/services-flake/e039591c6d3fe6606069a97f0be7d0fdddd2f106?narHash=sha256-%2BRTN1rTeqygSbiim9zJC9Pff/5jyCw88T6p/TTowMNg%3D'
(2024-11-20)