Mouse scroll cycles through input history in Android Studio's integrated terminal

https://github.com/user-attachments/assets/e7a2c1ff-9868-410a-9b24-1fa62752fc86

### Describe the bug

Since upgrading to Copilot CLI v1.0.43, mouse scroll wheel events in Android Studio's integrated terminal are being interpreted as Up/Down arrow key inputs, causing
the input prompt to cycle through previous commands instead of scrolling the terminal buffer. This does not occur in macOS Terminal.app or other standalone terminals.

Environment:

- Terminal: Android Studio integrated terminal
- OS: macOS

### Affected version

v1.0.43

### Steps to reproduce the behavior

1. Open Android Studio's integrated terminal
2. Launch copilot
3. Enter a few prompts
4. Scroll up/down with mouse wheel

### Expected behavior

Instead of scrolling terminal, it's filling previous prompts I've given

### Additional context

_No response_

Start by reproducing the issue in Android Studio's integrated terminal on macOS with Copilot CLI v1.0.43, following the listed steps, and compare mouse-wheel behavior with Terminal.app. Trace how wheel events are interpreted while the prompt is active; done means scrolling changes the terminal buffer without cycling through previous prompts.

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