feat(packages): add TypeScript type checking to build process into the nextjs-integration package (#5413)

## 📄 Description

- Added `typecheck` script to nextjs-integration package.json
- Modified `build` script to run type checking before building (`pnpm
run typecheck && pnpm clean && next build`)
- Added `nextjs:typecheck` script to root package.json for convenience


## 📝 Checklist

- ✅ My code follows the style guidelines of this project
- 🛠️ I have performed a self-review of my own code
- 📄 I have made corresponding changes to the documentation
- ⚠️ My changes generate no new warnings or errors
- 🧪 I have added tests that prove my fix is effective or that my feature
works
- ✔️ New and existing unit tests pass locally with my changes

Author: alionazherdetska

package.json

@@ -90,6 +90,7 @@
     "nextjs:build:serve": "pnpm --filter design-system-nextjs-integration build:serve",
     "nextjs:lint": "pnpm --filter design-system-nextjs-integration lint",
     "nextjs:lint:fix": "pnpm --filter design-system-nextjs-integration lint:fix",
+    "nextjs:typecheck": "pnpm --filter design-system-nextjs-integration typecheck",
     "primeng": "pnpm primeng:start",
     "primeng:start": "pnpm --filter design-system-styles-primeng-workspace start",
     "primeng:start:lib": "pnpm --filter design-system-styles-primeng-workspace start:lib",

packages/nextjs-integration/package.json

@@ -15,11 +15,12 @@
   },
   "scripts": {
     "start": "next dev",
-    "build": "pnpm clean && next build",
+    "build": "pnpm run typecheck && pnpm clean && next build",
     "build:serve": "pnpm build && next start",
     "clean": "rimraf .next",
     "lint": "next lint",
-    "lint:fix": "next lint --fix"
+    "lint:fix": "next lint --fix",
+    "typecheck": "tsc --noEmit"
   },
   "dependencies": {
     "@swisspost/design-system-components-react": "workspace:9.0.0-next.36",