feat: add @powersync/nuxt module

[khawarizmus]

🔗 Linked issue

Resolves #1416

📚 Description

Adds the official PowerSync Nuxt module (@powersync/nuxt).

PowerSync gives Nuxt apps offline/local-first sync capabilities. It handles client-side storage, consistency, reactivity using SQLite, and syncing writes back to your backend database. The module ships auto-imported composables, diagnostics, Nuxt DevTools integration, and optional Kysely support for type-safe queries.

I ran pnpm sync powersync and pnpm build locally, and the entry validates.

[coderabbitai]

No actionable comments were generated in the recent review. 🎉

ℹ️ Recent review info

⚙️ Run configuration

Configuration used: Organization UI

Review profile: CHILL

Plan: Pro

Run ID: 00c58c38-fae8-4221-b9ef-b7f86ae5fba3

📥 Commits

Reviewing files that changed from the base of the PR and between 2ea0416 and ad3da07.

⛔ Files ignored due to path filters (1)

• icons/powersync.svg is excluded by !**/*.svg

📒 Files selected for processing (1)

• modules/powersync.yml

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📝 Walkthrough

Walkthrough

This PR adds module metadata registration for the PowerSync Nuxt module. A single YAML configuration file (modules/powersync.yml) is introduced with complete module metadata including the module name, description, repository and npm package identifiers, icon, external links (GitHub, website, and documentation), category/type classification, maintainer information, and a Nuxt compatibility requirement of version 4.0.0 or higher.

Estimated code review effort

🎯 1 (Trivial) | ⏱️ ~3 minutes

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Title check	✅ Passed	The title clearly and concisely summarizes the main change: adding the PowerSync Nuxt module, which is the primary purpose of this pull request.
Description check	✅ Passed	The description is directly related to the changeset, explaining the PowerSync module addition, its features, and linking to the relevant issue #1416.
Linked Issues check	✅ Passed	The pull request fulfills all coding requirements from issue #1416: adds the official PowerSync Nuxt module with auto-imported composables, diagnostics, Nuxt DevTools integration, and Kysely support for Nuxt 4 compatibility.
Out of Scope Changes check	✅ Passed	All changes are scoped to the PowerSync module metadata file, with no out-of-scope modifications beyond the module listing addition requested in issue #1416.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.

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✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests

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