test(web-app): add test end2end

- it implements a 1st version of it

web-app/cypress.config.ts

@@ -5,17 +5,12 @@ export default defineConfig({
     specPattern: "tests/e2e/*.spec.ts",
     baseUrl: "http://localhost:8080",
     supportFile: "tests/support/e2e.ts",
-    setupNodeEvents(on, config) {
-      on("before:browser:launch", (browser, launchOptions) => {
-        // Allow tests to run even if baseUrl is not available
-        // This is useful for unit tests that don't need a server
-        if (process.env.CYPRESS_SKIP_SERVER_CHECK === "true") {
-          config.baseUrl = null;
-          return config;
-        }
-        return launchOptions;
-      });
-    },
+    // Don't skip server checks - we want to ensure the app is running
+    // Wait up to 10 seconds for the server to be available
+    defaultCommandTimeout: 10000,
+    requestTimeout: 10000,
+    responseTimeout: 10000,
+    pageLoadTimeout: 30000,
   },
   component: {
     devServer: {