[Feature]: Responses API in Agent TARS

### Which destkop app does this feature request relate to?

- [x] Select a project 👇
- [ ] UI-TARS Desktop
- [x] Agent-TARS
- [ ] Infra Packages
- [ ] Agent-TARS App

### What problem does this feature solve?

We are planning to enable Agent’s LLM API Protocol to continue to support the [Responses API](https://platform.openai.com/docs/api-reference/responses) based on [Chat Completion](https://platform.openai.com/docs/api-reference/chat) and use LLM Serving’s Image Cache to further improve performance in **multimodal** reasoning task scenarios.

### What does the proposed features look like?

N/A