ci: add job to run TypeScript checks

[3w36zj6]

This pull request adds a new type-checking step to the CI pipeline to help catch TypeScript errors earlier and improve code quality.

[Copilot]

Pull Request Overview

This PR enhances the CI pipeline by adding TypeScript type-checking capabilities to catch type errors earlier in the development process. The changes introduce a new type-check script and integrate it into the existing CI workflow.

• Adds a new type-check npm script that runs TypeScript compiler in type-checking mode across all workspaces
• Integrates the type-checking step into the CI matrix alongside existing format and lint checks

Reviewed Changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated no comments.

File	Description
package.json	Adds type-check script to run TypeScript compiler without emitting files
.github/workflows/ci.yaml	Includes type-check in the CI matrix to execute type-checking on all PRs

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