Vuefire + Nuxt3 Layers seems broken

[FenixTubluk]

Reproduction

https://github.com/FenixTubluk/nuxt3-vuefire-bug

Steps to reproduce the bug

1. git clone git@github.com:FenixTubluk/nuxt3-vuefire-bug.git
2. cd nuxt-layer
3. pnpm i
4. pnpm dev
5. stop the dev after it has compiled everything and is running
6. cd ..
7. cd nuxt-app
8. cp .env.example .env
9. fill in .env with firebase credentials
10. pnpm i
11. pnpm dev
12. goto http://localhost:3000/signin
13. push the google button

Expected behavior

A google popup should appear

Actual behavior

const auth = useFirebaseAuth() becomes null

Additional information

An additional bug maybe that we actually need to install vuefire in the child project also for it to work with shamefully-hoist set to true.