build(deps): Bump flake.lock dependencies

Flake lock file updates:

• Updated input 'nixpkgs':
    'github:NixOS/nixpkgs/37b97ae3dd714de9a17923d004a2c5b5543dfa6d' (2023-01-13)
  → 'github:NixOS/nixpkgs/f0451844bbdf545f696f029d1448de4906c7f753' (2023-08-12)
• Updated input 'purs-nix':
    'github:purs-nix/purs-nix/2ff35ef41e4e6df1c2417e741ac40952de5a74cf' (2023-01-13)
  → 'github:purs-nix/purs-nix/8729b7fbb02822df3fb3988bae94b276e50ca6fc' (2023-08-09)
• Removed input 'purs-nix/deadnix'
• Removed input 'purs-nix/deadnix/fenix'
• Removed input 'purs-nix/deadnix/fenix/nixpkgs'
• Removed input 'purs-nix/deadnix/fenix/rust-analyzer-src'
• Removed input 'purs-nix/deadnix/naersk'
• Removed input 'purs-nix/deadnix/naersk/nixpkgs'
• Removed input 'purs-nix/deadnix/nixpkgs'
• Removed input 'purs-nix/deadnix/utils'
• Updated input 'purs-nix/docs-search':
    'github:purs-nix/purescript-docs-search/4620575e21886fcbf516d0b43910ba4ead2a60d0' (2022-08-29)
  → 'github:purs-nix/purescript-docs-search/35822b1d6ce65b1a07f80dd9e2caf15c3ee83e2c' (2023-02-10)
• Updated input 'purs-nix/ps-tools':
    'github:purs-nix/purescript-tools/c0f887f60ea2331dfdc5b0e8be2e732976887345' (2022-07-21)
  → 'github:purs-nix/purescript-tools/675cd35bc9255f9c2b1f6f6784ef41b9773202e8' (2023-08-08)
• Removed input 'purs-nix/statix'
• Removed input 'purs-nix/statix/fenix'
• Removed input 'purs-nix/statix/fenix/nixpkgs'
• Removed input 'purs-nix/statix/fenix/rust-analyzer-src'
• Removed input 'purs-nix/statix/gitignore'
• Removed input 'purs-nix/statix/gitignore/nixpkgs'
• Removed input 'purs-nix/statix/nixpkgs'