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Refactor model compatibility task and update state management

- Simplify the logic in `Mix.Tasks.ReqLlm.ModelCompat` by removing unnecessary state loading and adjusting recording logic.
- Enhance the `save_state` function to include a timestamp for recorded models and update the JSON structure in `priv/supported_models.json` to reflect the last recorded timestamps.
- Improve the output format for model testing results by removing redundant information in the shell output.