Enhance vortex field integration in game recording and replay management

- Updated GameManager to include vortex field data in recording start and frame recording.
- Modified GameReplayManager to handle vortex field data during playback.
- Adjusted GameRecordingService to support vortex field data serialization.
- Expanded GameRecording type definitions to include vortex field information.
- Improved game state formatting to incorporate vortex field data for algorithm input.

Author: HuanCheng65