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

AGENTS.md

@@ -17,18 +17,20 @@ is reachable in the current application.
 ## Commands
 
 ```bash
-uv sync
-uv run hosts
-uv run pytest
-uv run pytest tests/test_parser.py
-uv run ruff check .
-uv run ruff format --check .
-uv run ruff format .
+mise install
+mise run sync
+mise run app
+mise run test
+mise run test -- tests/test_parser.py
+mise run lint
+mise run format-check
+mise run typecheck
+mise run check
+mise run format
 ```
 
-Use `uv run pytest <path>` for the narrowest relevant test during development.
-Before handing off a change, run the full test suite, Ruff lint, and Ruff format
-check.
+Use `mise run test -- <path>` for the narrowest relevant test during
+development. Before handing off a change, run `mise run check`.
 
 ## Code boundaries