[FEATURE] Added the ability to transfer the dialogue in trace to prompt development

### 📋 Please ensure that:

- [x] I have searched existing issues to avoid duplicates
- [x] I have provided a clear problem statement and solution
- [x] I understand this is a feature request and not a bug report
- [x] I am willing to help implement this feature if needed
- [x] I have submitted this feature request in English (otherwise it will not be processed)

### 🎯 Problem Statement

Can you add a function to transfer all the context of a question and answer in the trace to the prompt development for debugging with one click?

### 💡 Proposed Solution

Move the conversation in the trace to the prompt development

### 📋 Use Cases

-

### ⚡ Priority

None

### 🔧 Component

None

### 🔄 Alternatives Considered

_No response_

### 🎨 Mockups/Designs

_No response_

### ⚙️ Technical Details

_No response_

### ✅ Acceptance Criteria

_No response_

### 📝 Additional Context

_No response_

No files, tests, or entry points are identified in the issue, so first map the trace and prompt-development flows in the repository. Done means providing a one-click action that transfers all question-and-answer context from a trace into prompt development for debugging, with the expected behavior clarified before implementation.

Written by the indexing model from the issue text.