Update plugin.client.ts

[kudzu2019]

Set the path of the cookie to the root directory , path=/

❓ Type of change

• 📖 Documentation (updates to the documentation or readme)
• [√ ] 🐞 Bug fix (a non-breaking change that fixes an issue)
• 👌 Enhancement (improving an existing functionality)
• ✨ New feature (a non-breaking change that adds functionality)
• 🧹 Chore (updates to the build process or auxiliary tools and libraries)
• ⚠️ Breaking change (fix or feature that would cause existing functionality to change)

📚 Description

When using @nuxtjs/i18n with strategy: 'prefix_and_default'—so that URLs include a language prefix, including for the default locale—and configuring @nuxtjs/color-mode to use cookie-based storage, the following issues occur upon switching language:

• A new color-mode cookie gets created under the current locale path (e.g., /fr)

• The cookie resets to its default value, trouncing the user’s previously selected color mode

Expected behavior:

• The user’s theme preference should persist across language changes

• The color-mode cookie should be scoped to the root path (/), not confined to locale-specific subpaths

Steps to reproduce:

1. Set @nuxtjs/i18n with strategy: 'prefix_and_default'

2. Configure @nuxtjs/color-mode to store preference via cookie

3. Visit the site, switch to dark mode, and inspect the cookie’s scope in dev tools

4. Switch language and observe the creation of a locale-scoped cookie, with the preference reset

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