Make web workspace type-check pass for CI

[intraq-dev-ai]

Goal

Make the web workspace type-check clean enough to become a required CI status check.

Background

The root npm test passes, but npm run type-check --workspace @intraq/web still reports broader Vue/TypeScript errors unrelated to the recently fixed issues.

Acceptance criteria

• npm run type-check --workspace @intraq/web passes locally.
• CI can add the web workspace type-check as a required status check.
• Fixes are scoped and avoid weakening TypeScript settings.