Implement API setup with configuration management and startup tasks

- Add `Cargo.toml` for API with dependencies.
- Create `config.rs` for managing application settings.
- Implement logging and server settings in `config.rs`.
- Add `main.rs` to initialize the application and handle database connections.
- Introduce `task` module with startup tasks, including database migrations.
- Update `.gitignore` to exclude `config.yaml` and remove `.gitkeep`.

apps/api/.gitignore

@@ -0,0 +1 @@
+config.yaml