Flaky Storybook support

Describe the bug

Using Storybook with WXT works perfectly fine UNTIL you try to access browser to any extend. This will lead to weird compilation errors of it trying to access modules. I assume this is an issue with the fake-browser module rather than WXT yet this needs a fix to properly utilize storybook within WXT

Reproduction

Simply use the the storybook example WXT offers and then simply add a browser. access somewhere in a component for example and then "test" it in storybook. Storybook will fail for it.

Steps to reproduce

No response

System Info

System:
    OS: macOS 26.0
    CPU: (8) arm64 Apple M1 Pro
    Memory: 265.28 MB / 16.00 GB
    Shell: 5.9 - /bin/zsh
  Binaries:
    Node: 22.14.0 - /usr/local/bin/node
    npm: 10.9.2 - /usr/local/bin/npm
    pnpm: 10.11.0 - /usr/local/bin/pnpm
    bun: 1.2.15 - ~/.bun/bin/bun
  Browsers:
    Chrome: 137.0.7151.120
    Safari: 19.0
  npmPackages:
    vite: ^6.3.5 => 6.3.5 
    wxt: 0.20.7 => 0.20.7

Used Package Manager

pnpm

Validations

• Read the Contributing Guidelines.
• Read the docs.
• Check that there isn't already an issue that reports the same bug to avoid creating a duplicate.
• Check that this is a concrete bug. For Q&A open a GitHub Discussion or join our Discord Chat Server.
• The provided reproduction is a minimal reproducible example of the bug.

Start with the WXT Storybook example and reproduce the failure after adding a browser. access in a component, using pnpm. Trace the resulting compilation error to determine whether Storybook, WXT, or the fake-browser module is involved; done means the example works in Storybook with that access.