Mobile UI: Input bubble overlaps conversation text

Description

When using Claude Code via remote control on a mobile phone (Claude app), the input bubble at the bottom of the screen overlaps and blocks the last line of conversation text, making it unreadable.

Steps to Reproduce

1. Start a Claude Code CLI session with claude remote-control
2. Connect via the Claude mobile app
3. The last line of the assistant's response is blocked/hidden behind the input bubble

Expected Behavior

The conversation should have enough bottom padding so the last line of text is fully visible above the input bubble.

Environment

• Claude Code CLI via remote control
• Claude mobile app (Android)
• Phone screen in portrait orientation