[BUG] Scheduled task timestamp ignores system locale, always uses 12h format

Preflight Checklist

• [x] I have searched existing issues and this hasn't been reported yet
• [x] This is a single bug report (please file separate reports for different bugs)
• [x] I am using the latest version of Claude Code

What's Wrong?

Windows 11, regional format: Polish (Poland), short time: HH:mm
Output: Running scheduled task (Apr 28 11:17am) — uses 12h AM/PM format despite system locale set to 24h

What Should Happen?

Running scheduled task (Apr 28 11:17) or respect system time format.

Error Messages/Logs

Steps to Reproduce

Set Windows regional format to Polish (Poland) or any locale using 24h time format (Settings → Time & Language → Language & Region → Regional format)
Verify system uses 24h format (taskbar clock shows e.g. 14:30, not 2:30 PM)
Run claude and trigger any scheduled task
Observe timestamp in output: Running scheduled task (Apr 28 11:17am) — uses 12h AM/PM format instead of system's 24h format

Claude Model

None

Is this a regression?

Yes, this worked in a previous version

Last Working Version

_No response_

Claude Code Version

2.1.119 (Claude Code)

Platform

Anthropic API

Operating System

Windows

Terminal/Shell

Windows Terminal

Additional Information

_No response_