diff --git a/pkg/pub_integration/lib/src/pub_puppeteer_helpers.dart b/pkg/pub_integration/lib/src/pub_puppeteer_helpers.dart
index 556a1e63a5..45849a9378 100644
--- a/pkg/pub_integration/lib/src/pub_puppeteer_helpers.dart
+++ b/pkg/pub_integration/lib/src/pub_puppeteer_helpers.dart
@@ -2,6 +2,7 @@
 // for details. All rights reserved. Use of this source code is governed by a
 // BSD-style license that can be found in the LICENSE file.
 import 'dart:async';
+import 'dart:io';
 
 import 'package:puppeteer/puppeteer.dart';
 
@@ -45,6 +46,10 @@ Future<ListingPageInfo> listingPageInfo(Page page) async {
 }
 
 extension PubPageExt on Page {
+  Future<void> saveScreenshot(String path) async {
+    await File(path).writeAsBytes(await screenshot());
+  }
+
   Future<void> waitFocusAndType(String selector, String text) async {
     await waitForSelector(selector, timeout: Duration(seconds: 5));
     await focus(selector);
@@ -187,6 +192,39 @@ extension PubPageExt on Page {
     await _waitForModelHidden();
   }
 
+  /// Waits until the given selectors are visible and their UI top-left position
+  /// differs.
+  Future<void> waitForLayout(
+    List<String> selectors, {
+    Duration timeout = const Duration(seconds: 5),
+  }) async {
+    final sw = Stopwatch()..start();
+    final handles = await Future.wait(
+        selectors.map((e) => waitForSelector(e, timeout: timeout)));
+    while (sw.elapsed < timeout) {
+      final positions =
+          await Future.wait(handles.map((e) async => (await e!.boundingBox)!));
+      bool hasSamePosition = false;
+      for (var i = 0; i < positions.length; i++) {
+        for (var j = i + 1; j < positions.length; j++) {
+          if (positions[i].topLeft == positions[j].topLeft) {
+            hasSamePosition = true;
+            break;
+          }
+        }
+        if (hasSamePosition) break;
+      }
+      if (hasSamePosition) {
+        await Future.delayed(Duration(milliseconds: 25));
+        continue;
+      } else {
+        return;
+      }
+    }
+    await saveScreenshot('layout-timeout.png');
+    throw TimeoutException('Did not have a stable layout in $timeout.');
+  }
+
   Future<void> waitAndClick(
     String selector, {
     bool? waitForOneResponse,
diff --git a/pkg/pub_integration/pubspec.lock b/pkg/pub_integration/pubspec.lock
index f0d9c42ca2..0e38991d12 100644
--- a/pkg/pub_integration/pubspec.lock
+++ b/pkg/pub_integration/pubspec.lock
@@ -91,10 +91,10 @@ packages:
     dependency: transitive
     description:
       name: built_value
-      sha256: "723b4021e903217dfc445ec4cf5b42e27975aece1fc4ebbc1ca6329c2d9fb54e"
+      sha256: "69acb7007eb2a31dc901512bfe0f7b767168be34cb734835d54c070bfa74c1b2"
       url: "https://pub.dev"
     source: hosted
-    version: "8.7.0"
+    version: "8.8.0"
   checked_yaml:
     dependency: transitive
     description:
@@ -107,10 +107,10 @@ packages:
     dependency: transitive
     description:
       name: code_builder
-      sha256: "1be9be30396d7e4c0db42c35ea6ccd7cc6a1e19916b5dc64d6ac216b5544d677"
+      sha256: b2151ce26a06171005b379ecff6e08d34c470180ffe16b8e14b6d52be292b55f
       url: "https://pub.dev"
     source: hosted
-    version: "4.7.0"
+    version: "4.8.0"
   collection:
     dependency: transitive
     description:
@@ -155,10 +155,10 @@ packages:
     dependency: transitive
     description:
       name: dart_style
-      sha256: abd7625e16f51f554ea244d090292945ec4d4be7bfbaf2ec8cccea568919d334
+      sha256: "40ae61a5d43feea6d24bd22c0537a6629db858963b99b4bc1c3db80676f32368"
       url: "https://pub.dev"
     source: hosted
-    version: "2.3.3"
+    version: "2.3.4"
   file:
     dependency: transitive
     description:
@@ -203,10 +203,10 @@ packages:
     dependency: "direct main"
     description:
       name: http
-      sha256: "759d1a329847dd0f39226c688d3e06a6b8679668e350e2891a6474f8b4bb8525"
+      sha256: d4872660c46d929f6b8a9ef4e7a7eff7e49bbf0c4ec3f385ee32df5119175139
       url: "https://pub.dev"
     source: hosted
-    version: "1.1.0"
+    version: "1.1.2"
   http_methods:
     dependency: transitive
     description:
@@ -323,10 +323,10 @@ packages:
     dependency: transitive
     description:
       name: petitparser
-      sha256: cb3798bef7fc021ac45b308f4b51208a152792445cce0448c9a4ba5879dd8750
+      sha256: eeb2d1428ee7f4170e2bd498827296a18d4e7fc462b71727d111c0ac7707cfa6
       url: "https://pub.dev"
     source: hosted
-    version: "5.4.0"
+    version: "6.0.1"
   pointycastle:
     dependency: transitive
     description:
@@ -363,10 +363,10 @@ packages:
     dependency: "direct main"
     description:
       name: puppeteer
-      sha256: dd49117259867d0ce0de33ddd95628fb70cff94581a6432c08272447b8dd1d27
+      sha256: eedeaae6ec5d2e54f9ae22ab4d6b3dda2e8791c356cc783046d06c287ffe11d8
       url: "https://pub.dev"
     source: hosted
-    version: "2.24.0"
+    version: "3.6.0"
   sanitize_html:
     dependency: transitive
     description:
@@ -543,6 +543,14 @@ packages:
       url: "https://pub.dev"
     source: hosted
     version: "1.1.0"
+  web:
+    dependency: transitive
+    description:
+      name: web
+      sha256: edc8a9573dd8c5a83a183dae1af2b6fd4131377404706ca4e5420474784906fa
+      url: "https://pub.dev"
+    source: hosted
+    version: "0.4.0"
   web_socket_channel:
     dependency: transitive
     description:
@@ -568,4 +576,4 @@ packages:
     source: hosted
     version: "3.1.2"
 sdks:
-  dart: ">=3.0.0 <4.0.0"
+  dart: ">=3.2.0 <4.0.0"
diff --git a/pkg/pub_integration/pubspec.yaml b/pkg/pub_integration/pubspec.yaml
index 99c415c9e7..51f10c8a5e 100644
--- a/pkg/pub_integration/pubspec.yaml
+++ b/pkg/pub_integration/pubspec.yaml
@@ -12,12 +12,9 @@ dependencies:
   http: ^1.0.0
   path: ^1.8.0
   pub_semver: ^2.0.0
-  puppeteer: ^2.24.0
+  puppeteer: ^3.6.0
   oauth2: ^2.0.0
 
 dev_dependencies:
   coverage: any # test already depends on it
   test: ^1.16.5
-
-dependency_overrides:
-  http: ^1.0.0
diff --git a/pkg/pub_integration/test/pkg_admin_page_test.dart b/pkg/pub_integration/test/pkg_admin_page_test.dart
index d1adb36bed..8c50f536a6 100644
--- a/pkg/pub_integration/test/pkg_admin_page_test.dart
+++ b/pkg/pub_integration/test/pkg_admin_page_test.dart
@@ -49,6 +49,10 @@ void main() {
           await page.gotoOrigin('/packages/test_pkg/admin');
 
           await page.waitAndClick('#-pkg-admin-automated-github-enabled');
+          await page.waitForLayout([
+            '#-pkg-admin-automated-github-repository',
+            '#-pkg-admin-automated-github-tagpattern',
+          ]);
           await page.waitFocusAndType(
               '#-pkg-admin-automated-github-repository', 'dart-lang/pub-dev');
           await page.waitAndClick('#-pkg-admin-automated-button',
diff --git a/pkg/pub_integration/test/search_update_test.dart b/pkg/pub_integration/test/search_update_test.dart
index 937aaf6f10..8a5ce5d5a5 100644
--- a/pkg/pub_integration/test/search_update_test.dart
+++ b/pkg/pub_integration/test/search_update_test.dart
@@ -160,7 +160,11 @@ void main() {
 
           // show hidden
           await page.click('.search-form-section[data-section-tag="advanced"]');
-          await page.waitAndClick('#search-form-checkbox-show-unlisted');
+          await page.waitForLayout([
+            '#search-form-checkbox-is-flutter-favorite',
+            '#search-form-checkbox-show-unlisted'
+          ]);
+          await page.click('#search-form-checkbox-show-unlisted');
           await page.waitForNavigation(wait: Until.networkIdle);
           final i7 = await listingPageInfo(page);
           expect(i7.totalCount, i6.totalCount);