[FEATURE] AskUserQuestion hides conversation in VSCode plugin

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet (technically it was requested but those issues were closed without explanation)
• [x] This is a single feature request (not multiple features)

Problem Statement

When AskUserQuestion asks me a question using the VSCode plugin, the modal popup typically covers most or all of the conversation it is asking a question about; for instance below I can only see 3 lines of the converation behind the popup:

<img width="500" height="500" alt="Image" src="https://github.com/user-attachments/assets/b1b12c2d-2349-4dff-866e-fcb6982327a9" />

This makes it irritating to try to read the conversation, and in general it is asking a question that requires me to read the conversation before I know how to answer. On my laptop I cannot read the conversation at all.

Proposed Solution

It would be great if this popup could be elsewhere, or moveable, or temporarily collapsible, so that I can more easily read the conversation in order to know how to answer the question.

Alternative Solutions

I select "Other" and respond "Please ask me this in normal conversation", or try to read 1-3 lines at a time if the window is just small enough to let me see the conversation behind it.

Priority

High - Significant impact on productivity

Feature Category

Interactive mode (TUI)

Use Case Example

_No response_

Additional Context

There are two related issues #66080 and #62390, but neither was handled. One was closed by the original filer with no explanation, and the other was closed by a bot for having no activity.