test(web-app): add cypress for unit test

web-app/cypress.unit.js

@@ -0,0 +1,40 @@
+const { defineConfig } = require('cypress');
+
+module.exports = defineConfig({
+  // Shared settings for all test types
+  watchForFileChanges: false,
+  screenshotOnRunFailure: false,
+  video: false,
+  defaultCommandTimeout: 10000,
+  chromeWebSecurity: false,
+  retries: {
+    runMode: 2,
+    openMode: 0,
+  },
+  
+  // E2E test configuration
+  e2e: {
+    specPattern: ['tests/e2e/*.spec.ts', 'tests/unit/*.spec.ts'],
+    baseUrl: null, // No baseUrl to prevent server checks in headless mode
+    supportFile: 'tests/support/e2e.ts',
+    experimentalRunAllSpecs: true,
+    testIsolation: false, // Allow shared context for unit tests
+    setupNodeEvents(on, config) {
+      // Disable baseUrl verification for headless testing
+      on('before:browser:launch', (browser, launchOptions) => {
+        return launchOptions;
+      });
+      return config;
+    },
+  },
+  
+  // Component test configuration (for Vue components)
+  component: {
+    devServer: {
+      framework: 'vue',
+      bundler: 'webpack',
+    },
+    specPattern: 'tests/unit/*.spec.ts', // Component tests are in unit directory
+    supportFile: 'tests/support/e2e.ts',
+  },
+});