- Add ping() and health() methods to BdDaemonClient for connection verification
- Implement _health_check_client() to verify cached client connections
- Add _reconnect_client() with exponential backoff (0.1s, 0.2s, 0.4s, max 3 retries)
- Update _get_client() to health-check before returning cached clients
- Automatically detect and remove stale connections from pool
- Add comprehensive test suite with 14 tests covering all scenarios
- Handle daemon restarts, upgrades, and long-idle connections gracefully
Amp-Thread-ID: https://ampcode.com/threads/T-2366ef1b-389c-4293-8145-7613037c9dfa
Co-authored-by: Amp <amp@ampcode.com>