Adopt mise for development workflows

- Lock Python and uv versions with mise
- Add unified sync, app, test, lint, format, and typecheck tasks
- Update development documentation and strengthen type handling

pyproject.toml

@@ -6,9 +6,14 @@ readme = "README.md"
 requires-python = ">=3.13"
 dependencies = [
     "textual>=5.0.1",
+]
+
+[dependency-groups]
+dev = [
     "pytest>=8.4.1",
     "pytest-asyncio>=0.21.0",
     "ruff>=0.12.5",
+    "ty>=0.0.78",
 ]
 
 [project.scripts]