[BUG] 5 hour reset Limits hit after only a few minutes of use

### Preflight Checklist

- [x] I have searched [existing issues](https://github.com/anthropics/claude-code/issues?q=is%3Aissue%20state%3Aopen%20label%3Abug) 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?

My plan reset at 7:00 this morning. I started doing some work at about 07:25 and by 07:38 I had hit my 5 hour limit and 7% of my weekly plan while on Opus 5 Max. WTF. This occured last week as well during the weekly restart of the plan. Ridiculous. Including a screenshot of the clock time 39 minutes after the weekly reset and less than 15 minutes after I started doing some work.

### What Should Happen?

The plan should not reach it's 5 hour limit within 20 minutes of starting!!

### Error Messages/Logs

```shell

```

### Steps to Reproduce

Let the plan do its weekly reset and then what it hit its 5 hour limit randomly within 30 minutes.

### Claude Model

Opus

### Is this a regression?

I don't know

### Last Working Version

_No response_

### Claude Code Version

1.49585.0 (41ad1d)

### Platform

Anthropic API

### Operating System

macOS

### Terminal/Shell

Terminal.app (macOS)

### Additional Information

_No response_

The issue names no repository files, tests, or entry points. Start by reproducing the post-reset limit behavior with the reported Claude Code version and reviewing the available usage or error data; done means identifying why the five-hour limit is reached early and verifying the fix.

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