style(deps[docs]): Integrate sphinx-autodoc-api-style, bump gp-sphinx packages to 0.0.1a5

why: Align docs stack with latest gp-sphinx workspace releases and enable API badges
what:
- Pin gp-sphinx and sphinx-autodoc-api-style to 0.0.1a5 in dev and docs groups
- Register sphinx_autodoc_api_style in docs/conf.py extra_extensions
- Regenerate uv.lock

Author: tony

docs/conf.py

@@ -35,7 +35,11 @@
     source_branch="main",
     light_logo="img/libtmux.svg",
     dark_logo="img/libtmux.svg",
-    extra_extensions=["sphinx.ext.todo", "fastmcp_autodoc"],
+    extra_extensions=[
+        "sphinx_autodoc_api_style",
+        "sphinx.ext.todo",
+        "fastmcp_autodoc",
+    ],
     intersphinx_mapping={
         "python": ("https://docs.python.org/", None),
         "pytest": ("https://docs.pytest.org/en/stable/", None),

pyproject.toml

@@ -56,7 +56,8 @@ libtmux-mcp = "libtmux_mcp:main"
 [dependency-groups]
 dev = [
   # Docs
-  "gp-sphinx==0.0.1a1",
+  "gp-sphinx==0.0.1a5",
+  "sphinx-autodoc-api-style==0.0.1a5",
   "gp-libs",
   "sphinx-autobuild",
   # Testing
@@ -77,7 +78,8 @@ dev = [
 ]
 
 docs = [
-  "gp-sphinx==0.0.1a1",
+  "gp-sphinx==0.0.1a5",
+  "sphinx-autodoc-api-style==0.0.1a5",
   "gp-libs",
   "sphinx-autobuild",
 ]