Failed to parse URL when using $fetch plugin + proxy

[lammerfalcon]

Environment

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• Operating System: Darwin
• Node Version: v20.12.2
• Nuxt Version: 3.12.4
• CLI Version: 3.12.0
• Nitro Version: 2.9.7
• Package Manager: npm@10.5.0
• Builder: -
• User Config: modules, app, css, routeRules, runtimeConfig, colorMode, ui, devtools
• Runtime Modules: @nuxt/ui@2.17.0, @nuxtjs/i18n@8.3.1, @nuxt/image@1.7.0, @pinia/nuxt@0.5.1, @samk-dev/nuxt-vcalendar@1.0.4, @nuxt/fonts@0.6.1, nuxt-monaco-editor@1.2.9
• Build Modules: -

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Reproduction

https://stackblitz.com/edit/github-c51gfm-fpwdjf?file=app.vue,plugins%2Fapi.ts

Describe the bug

$fetch plugin with proxy cannot parse URL on server side
Error: [GET] "/api/auth/me": <no response> Failed to parse URL from /api/auth/me

Additional context

No response

Logs

No response

[lammerfalcon]

@pi0 Hello! can you look at this bug please, really dont understand why this error happens. i want to proxy request custom $fetch plugin