[BUG] code CLI debug and verbose modes do not output to stderr

Environment

• Platform (select one):
• [ ] Anthropic API
• [ ] AWS Bedrock
• [ ] Google Vertex AI
• [x] Other: linux CLI
• Claude CLI version:1.0.64 (Claude Code)
• Operating System: Ubuntu 24.04
• Terminal: gnome-terminal

Bug Description

1. using claude -p --debug outputs debug content to stdout, not stderr.
2. using claude -p --verbose has no effect.

Steps to Reproduce

1. Try this:

claude -p --debug --model haiku "Hello there, what's your name?" 2> stderr.out

1. and this:

claude -p --verbose --model haiku "Hello there, what's your name?"

Expected Behavior

the --debug and --verbose should output the debug code to stderr, not stdout.

Actual Behavior

• debug output is routed to stdout.
• verbose output does absolutely nothing.