Replace platform-native libSQL client with Node SQLite

[jamesmontemagno]

Problem

The former libSQL client downloads platform-specific native packages, which prevents the workshop template from starting reliably on some Windows ARM, Windows x64, and macOS environments.

Proposed change

Use Node.js 22.13+'s built-in node:sqlite driver through Drizzle's SQLite proxy adapter. Preserve the existing Drizzle schema, migrations, seed workflow, and injectable data helpers so workshop exercises remain unchanged.

Acceptance criteria

• No runtime libSQL client or platform-native libSQL package is installed.
• Migrations, seeding, static builds, and in-memory data-helper tests work with Node SQLite.
• Documentation declares Node 22.13+.
• Existing build, type, lint, unit, and E2E checks pass.