[Package] PowerSync Nuxt Module

[khawarizmus]

This PR introduces a new nuxt package to offer first-class support for Nuxt with PowerSync.

The PR also introduces a new demo showcasing a reference implementation showing PowerSync + Nuxt 4 + Supabase

• Add Nuxt module package
• Add PowerSync x Nuxt x Supabase demo
• Write the changset
• Test a dev release outside the repo

[changeset-bot]

⚠️ No Changeset found

Latest commit: 5771c58

Merging this PR will not cause a version bump for any packages. If these changes should not result in a new version, you're good to go. If these changes should result in a version bump, you need to add a changeset.

This PR includes no changesets

When changesets are added to this PR, you'll see the packages that this PR includes changesets for and the associated semver types

Click here to learn what changesets are, and how to add one.

Click here if you're a maintainer who wants to add a changeset to this PR

[khawarizmus]

Not sure what the chanset should include when releasing a new package