DX: Enable local TypeScript checking during development

[TusharW4ni]

Context / Problem

By default, Nuxt 4 strips TypeScript types during the build process but does not explicitly type-check during nuxt dev for performance reasons. This means developers might write code that has TypeScript errors but still runs in development, only to fail later in the build or cause subtle bugs.

Proposed Solution

Enable local type-checking so errors appear directly in the terminal during development.

Implementation Details

1. Install vue-tsc and typescript as development dependencies (if not already strictly required).
2. Update nuxt.config.ts to enable type checking:

   export default defineNuxtConfig({
     typescript: {
       typeCheck: true
     }
   })

Acceptance Criteria

• Type errors are logged to the terminal when running pnpm dev.
• Existing types in the boilerplate are verified to be fully sound.