chore: update dependencies and add vitest configuration

- Added @analogjs/vite-plugin-angular and @analogjs/vitest-angular to devDependencies.
- Updated @nx/vite to version 20.1.4.
- Added @vitest/coverage-v8 and @vitest/ui to devDependencies.
- Added jsdom to devDependencies.
- Added vite and vitest to devDependencies.
- Updated tsconfig.base.json to include new paths for shared libraries.
- Created vitest.workspace.ts for vitest configuration.

Refs: #5135

package.json

@@ -58,6 +58,8 @@
     "zone.js": "~0.15.0"
   },
   "devDependencies": {
+    "@analogjs/vite-plugin-angular": "~1.9.1",
+    "@analogjs/vitest-angular": "~1.9.1",
     "@angular-devkit/build-angular": "20.0.3",
     "@angular-devkit/core": "20.0.2",
     "@angular-devkit/schematics": "20.0.2",
@@ -73,6 +75,7 @@
     "@nx/jest": "21.2.0",
     "@nx/js": "21.2.0",
     "@nx/storybook": "21.2.0",
+    "@nx/vite": "20.1.4",
     "@nx/web": "21.2.0",
     "@nx/workspace": "21.2.0",
     "@schematics/angular": "20.0.2",
@@ -88,6 +91,8 @@
     "@types/node": "18.16.9",
     "@types/uuid": "^10.0.0",
     "@typescript-eslint/utils": "^8.19.0",
+    "@vitest/coverage-v8": "^1.0.4",
+    "@vitest/ui": "^1.3.1",
     "angular-eslint": "^19.2.0",
     "autoprefixer": "^10.4.20",
     "eslint": "^9.8.0",
@@ -99,6 +104,7 @@
     "jest-environment-node": "^29.7.0",
     "jest-junit": "^16.0.0",
     "jest-preset-angular": "14.6.0",
+    "jsdom": "~22.1.0",
     "jsonc-eslint-parser": "^2.1.0",
     "ng-mocks": "14.13.5",
     "ng-packagr": "20.0.1",
@@ -113,7 +119,9 @@
     "ts-jest": "^29.1.0",
     "ts-node": "10.9.1",
     "typescript": "5.8.3",
-    "typescript-eslint": "^8.19.0"
+    "typescript-eslint": "^8.19.0",
+    "vite": "^5.0.0",
+    "vitest": "^1.3.1"
   },
   "optionalDependencies": {
     "@esbuild/linux-x64": "^0.25.5"