diff --git a/packages/playwright-core/src/server/trace/recorder/tracing.ts b/packages/playwright-core/src/server/trace/recorder/tracing.ts
index c19c0a33d9..ff325942d2 100644
--- a/packages/playwright-core/src/server/trace/recorder/tracing.ts
+++ b/packages/playwright-core/src/server/trace/recorder/tracing.ts
@@ -272,9 +272,14 @@ export class Tracing extends SdkObject implements InstrumentationListener, Snaps
     state.chunkOrdinal = 0;  // Reset ordinal for the new name.
     this._allocateNewTraceFile(state);
 
-    // Network file survives across chunks, so make a copy with the new name.
+    // - Browser context network trace is shared across chunks as it contains resources
+    // used to serve page snapshots, so make a copy with the new name.
+    // - APIRequestContext network traces are chunk-specific, always start from scratch.
     const newNetworkFile = path.join(state.tracesDir, name + '.network');
-    this._fs.copyFile(state.networkFile, newNetworkFile);
+    if (this._context instanceof BrowserContext)
+      this._fs.copyFile(state.networkFile, newNetworkFile);
+    else
+      this._fs.writeFile(state.networkFile, '');
     state.networkFile = newNetworkFile;
   }
 
diff --git a/tests/playwright-test/ui-mode-test-network-tab.spec.ts b/tests/playwright-test/ui-mode-test-network-tab.spec.ts
index e1b3bef9ed..6905dec505 100644
--- a/tests/playwright-test/ui-mode-test-network-tab.spec.ts
+++ b/tests/playwright-test/ui-mode-test-network-tab.spec.ts
@@ -160,3 +160,39 @@ test('should display list of query parameters (only if present)', async ({ runUI
 
   await expect(page.getByText('Query String Parameters')).not.toBeVisible();
 });
+
+test('should not duplicate network entries from beforeAll', {
+  annotation: [
+    { type: 'issue', description: 'https://github.com/microsoft/playwright/issues/34404' },
+    { type: 'issue', description: 'https://github.com/microsoft/playwright/issues/33106' },
+  ]
+}, async ({ runUITest, server }) => {
+  const { page } = await runUITest({
+    'playwright.config.ts': `
+      module.exports = { use: { trace: 'on' } };
+    `,
+    'a.spec.ts': `
+      import { test as base, expect, request, type APIRequestContext } from '@playwright/test';
+
+      const test = base.extend<{}, { apiRequest: APIRequestContext }>({
+        apiRequest: [async ({ }, use) => {
+          const apiContext = await request.newContext();
+          await use(apiContext);
+          await apiContext.dispose();
+        }, { scope: 'worker' }]
+      });
+
+      test.beforeAll(async ({ apiRequest }) => {
+        await apiRequest.get("${server.EMPTY_PAGE}");
+      });
+
+      test('first test', async ({ }) => { });
+
+      test.afterAll(async ({ apiRequest }) => { });
+    `,
+  });
+
+  await page.getByText('first test').dblclick();
+  await page.getByText('Network', { exact: true }).click();
+  await expect(page.getByTestId('network-list').getByText('empty.html')).toHaveCount(1);
+});