Remaining reqs. disappear after first prompt with GPT models.

### Describe the bug

When using a GPT model, the remaining requests counter disappears after submitting the first prompt. The counter is visible before the first interaction but is no longer shown in subsequent turns.

Actual behavior:

The counter disappears after the first prompt when using GPT models. This behavior does not seem to occur with Claude models.

### Affected version

GitHub Copilot CLI 1.0.14

### Steps to reproduce the behavior

1. Launch Copilot CLI
2. Select one of the GPT model (e.g. via /model)
3. Note the remaining requests counter is visible
4. Submit any prompt
5. The remaining requests counter is no longer displayed

### Expected behavior

The remaining requests counter should remain visible throughout the session, consistently across all models.

### Additional context

Environment:
- Copilot CLI version: 1.0.14
- OS: Ubuntu
- Model used: GPT-5.*

Start by reproducing the issue in Copilot CLI 1.0.14 on Ubuntu with a GPT model, then compare the request-counter display before and after the first prompt and repeat with a Claude model. Done means the remaining requests counter stays visible throughout the session for GPT models, consistently with Claude behavior.

Scritto dal modello di indicizzazione a partire dal testo della issue.