[VSCode] Response text scrolls behind input bar (Cursor)

Describe the bug
In the Claude Code VSCode extension (running in Cursor), response text flows behind the input bar at the bottom of the chat panel. The last few lines of a response are obscured by the input bar overlay.

Steps to reproduce

1. Open Claude Code panel in Cursor (VSCode)
2. Send a message that produces a moderately long response
3. Observe that the bottom lines of the response are hidden behind the input bar

Expected behavior
The scrollable content area should stop above the input bar, with sufficient bottom padding so all response text is visible.

Environment

• Editor: Cursor (VSCode-based)
• OS: macOS