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

.claude/settings.local.json

@@ -0,0 +1,9 @@
+{
+  "permissions": {
+    "allow": [
+      "mcp__context7__resolve-library-id",
+      "mcp__context7__get-library-docs"
+    ],
+    "deny": []
+  }
+}