[BUG] Claude desktop on reaching day limits deletes all the progress, shutsdown and restarts

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?

I am using Claude desktop and playwright mcp. I tasked it to open career websites. It worked for 20 out of 40, when it reached its day limits.
After that it completely shut down without preserving the progress, completely killing the browser session and shutting claude desktop app.

<img width="872" height="844" alt="Image" src="https://github.com/user-attachments/assets/15750da0-e782-4168-b2b8-1369b011631a" />

<img width="775" height="225" alt="Image" src="https://github.com/user-attachments/assets/c9be99b1-fbb8-464e-808c-fe2c6a27da50" />

What Should Happen?

Fail elegantly, preserve the browser session

Error Messages/Logs

Steps to Reproduce

1. give a list of companies and ask it to open up career pages using claude desktop and playwright mcp.
2. observe the progress

Claude Model

Opus

Is this a regression?

I don't know

Last Working Version

_No response_

Claude Code Version

NA

Platform

Anthropic API

Operating System

macOS

Terminal/Shell

Windows Terminal

Additional Information

_No response_