[RFE] Ability to append output to log file

Environment

• Platform (select one):
• [x] Anthropic API
• [ ] AWS Bedrock
• [ ] Google Vertex AI
• [ ] Other: <!-- specify -->
• Claude CLI version: 1.0.77 (Claude Code)
• Operating System: Windows 11
• Terminal: WSL2 bash

Description

I want to let Claude Code run background tasks but I often find myself missing out on activity that scroll past the terminal buffer.

What I tried

• wsl.exe -d Ubuntu bash -lc "script -a claude.log -c claude" retains an interactive console and logs to a file with colors
• wsl.exe -d Ubuntu bash -lc "fifo=\$(mktemp -u); mkfifo \"\$fifo\"; sed -r 's/\x1B\[[0-9;?]*[ -/]*[@-~]//g' < \"\$fifo\" >> claude.log & spid=\$!; script -qf \"\$fifo\" -c 'claude'; wait \$spid; rm -f \"\$fifo\"" retains an interactive console and strips colors out before logging to a file

Both approach work, but unfortunately the animation gets logged which means that log file output is extremely verbose to a point of being useless.

Please provide a built-in feature for append the output to a file (with and without colors getting stripped out) in a way that does not log the animation but rather only the final result.