feat: Add Beads MCP Server [bd-5]

Implements MCP server for beads issue tracker, exposing all bd CLI functionality to MCP clients like Claude Desktop.

Features:
- Complete bd command coverage (init, create, list, ready, show, update, close, dep, blocked, stats)
- Type-safe Pydantic models with validation
- Comprehensive test suite (unit + integration tests)
- Production-ready Python package structure
- Environment variable configuration support
- Quickstart resource (beads://quickstart)

Ready for PyPI publication after real-world testing.

Co-authored-by: ghoseb <baishampayan.ghose@gmail.com>

integrations/beads-mcp/pyproject.toml

@@ -0,0 +1,78 @@
+[project]
+name = "beads-mcp"
+version = "1.0.0"
+description = "MCP server for beads issue tracker."
+readme = "README.md"
+requires-python = ">=3.11"
+dependencies = [
+    "fastmcp==2.12.4",
+    "pydantic==2.12.0",
+    "pydantic-settings==2.11.0",
+]
+authors = [
+    {name = "Beads Contributors"}
+]
+keywords = ["beads", "mcp", "claude", "issue-tracker", "ai-agent"]
+classifiers = [
+    "Development Status :: 3 - Alpha",
+    "Intended Audience :: Developers",
+    "Programming Language :: Python :: 3",
+    "Programming Language :: Python :: 3.11",
+    "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
+]
+
+[project.scripts]
+beads-mcp = "beads_mcp.server:main"
+
+[build-system]
+requires = ["hatchling"]
+build-backend = "hatchling.build"
+
+[tool.mypy]
+strict = true
+warn_return_any = true
+warn_unused_configs = true
+disallow_untyped_defs = true
+disallow_any_generics = true
+check_untyped_defs = true
+no_implicit_optional = true
+warn_redundant_casts = true
+warn_unused_ignores = true
+warn_no_return = true
+warn_unreachable = true
+
+[tool.ruff]
+target-version = "py311"
+line-length = 115
+
+[tool.ruff.lint]
+select = [
+    "E",
+    "W",
+    "F",
+    "I",
+    "UP",
+    "B",
+    "SIM",
+    "C4",
+]
+ignore = []
+
+[tool.ruff.format]
+quote-style = "double"
+indent-style = "space"
+
+[tool.pytest.ini_options]
+testpaths = ["tests"]
+asyncio_mode = "auto"
+asyncio_default_fixture_loop_scope = "function"
+
+[dependency-groups]
+dev = [
+    "mypy>=1.18.2",
+    "pytest>=8.4.2",
+    "pytest-asyncio>=1.2.0",
+    "pytest-cov>=7.0.0",
+    "ruff>=0.14.0",
+]