refactor: Migrate AI CLI code to ai-cli-runner package

[myakove]

Summary

Replace duplicated AI CLI integration code in src/docsfy/ai_client.py with imports from the new ai-cli-runner package.

What to Replace

Replace the entire contents of src/docsfy/ai_client.py:

• call_ai_cli() function
• check_ai_cli_available() function
• ProviderConfig dataclass
• PROVIDERS / PROVIDER_CONFIG dict
• _build_claude_cmd, _build_gemini_cmd, _build_cursor_cmd functions
• _get_ai_cli_timeout() function and AI_CLI_TIMEOUT constant
• VALID_AI_PROVIDERS constant

Migration Notes

docsfy uses a 60-minute default timeout (vs 10 minutes for other projects). After migration, either:

• Pass ai_cli_timeout=60 at each call site, or
• Set AI_CLI_TIMEOUT=60 in the environment

Migration

1. Add ai-cli-runner as a dependency in pyproject.toml
2. Replace ai_client.py contents with re-exports or update imports:

   from ai_cli_runner import call_ai_cli, check_ai_cli_available

3. Pass ai_cli_timeout=60 at call sites to preserve the 60-minute default
4. Pass appropriate cli_flags at call sites
5. Remove the old duplicated code

Blocked By

• feat: Implement ai-cli-runner package — shared async AI CLI integration ai-cli-runner#2 must be merged first