🔨 Add markdown link linter

[Miyamura80]

Summary

• Added pytest-check-links as a dev dependency to validate markdown links.
• Integrated link linting into prek local hooks.
• Added make lint_links for manual validation and updated make ci to include it.
• Fixed several broken links in README.md and docs/README.md.
• Updated AGENTS.md and CLAUDE.md with the new linter command.

[greptile-apps]

Greptile Overview

Greptile Summary

This PR adds comprehensive markdown link validation to the project using pytest-check-links. The implementation includes:

• GitHub Actions workflow that runs weekly on a cron schedule to catch link rot over time
• Pre-commit hook that validates links locally before each commit
• Makefile target (make lint_links) for manual validation and integration into the CI pipeline
• Documentation updates in CLAUDE.md and AGENTS.md to reflect the new linting command
• Link fixes in README.md correcting paths from docs/ to manual_docs/ and adding missing protocol to the Cursor link

The implementation follows the project's patterns for GitHub Actions (using uv for dependency management) and integrates seamlessly with existing CI/CD infrastructure. The weekly scheduled workflow is a good choice for link validation since it can catch external links that break over time without running on every commit.

Confidence Score: 5/5

• This PR is safe to merge with no issues found
• The changes are well-structured and follow project conventions. The implementation correctly uses uv for dependency management, properly configures the GitHub Action with appropriate triggers, and integrates cleanly with existing tooling. All documentation has been updated consistently, and the link fixes address real issues. The PR went through multiple commits to resolve CI issues, indicating thorough testing.
• No files require special attention

Important Files Changed

Filename	Overview
.github/workflows/markdown-link-lint.yaml	Added new GitHub Action workflow for weekly markdown link validation using scheduled cron job
.pre-commit-config.yaml	Added lint-links hook that runs on every commit to check markdown links
Makefile	Added lint_links target and integrated it into ci target for comprehensive link checking
CLAUDE.md	Updated documentation to include make lint_links command and updated ci target description
pyproject.toml	Added pytest-check-links as a dev dependency in dependency-groups
README.md	Fixed broken links pointing to docs/ to correct manual_docs/ path and added missing https:// to Cursor link
uv.lock	Updated lock file with pytest-check-links dependencies and resolved version conflicts