## Title: Excessive API debug logs appearing in terminal output

When using Claude Code, API request/response logs are continuously displayed in the terminal, making it difficult to see actual
command outputs and responses.

## Log Sample
[log_bf3ee7, request-id: "req_011CQH99AK8Mp8GW5oh2A8g3"] post https://api.anthropic.com/v1/messages?beta=true succeeded with
status 200 in 2647ms
[log_bf3ee7] response start {
url: 'https://api.anthropic.com/v1/messages?beta=true',
status: 200,
headers: {
'anthropic-organization-id': 'f5f49530-3fc3-40a1-b909-02ee9ce82626',
'anthropic-ratelimit-unified-fallback-percentage': '0.2',
...
}
}

## Environment

• OS: Windows with WSL
• Date: 2025-06-19
• Terminal: Command Line Interface

## Expected Behavior
API debug logs should not appear during normal usage. Only user commands and Claude's responses should be visible.

## Impact
This makes Claude Code nearly unusable as the logs flood the terminal and obscure the actual conversation.