[stable] Cherry-pick DevTools 2.45.2 into the SDK stable branch.

Issue description: DevTools Network screen non-functional after app
hot restart.
What is the fix: Correct a race condition in re-instating vm service
extensions after a hot restart.
Why cherry-pick: Users have complained much about this issue.
Risk: low, this fix has been in the main channel for a while.
Issue link: https://github.com/flutter/devtools/issues/9203

Cherry-pick: https://github.com/flutter/devtools/compare/v2.45.1...2.45.2
Change-Id: Ia28ae28179473af22b255bda77eda9a6e749b15e
Reviewed-on: https://dart-review.googlesource.com/c/sdk/+/442004
Reviewed-by: Alexander Thomas <athom@google.com>
Reviewed-by: Elliott Brooks <elliottbrooks@google.com>
Commit-Queue: Samuel Rawlins <srawlins@google.com>
diff --git a/CHANGELOG.md b/CHANGELOG.md
index 6773b6a..2a48dd2 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,3 +1,11 @@
+## 3.8.3
+
+This is a patch release that:
+
+- Fixes an issue with the DevTools Network screen (issue [flutter/devtools#9203])
+
+[flutter/devtools#9203]: https://github.com/flutter/devtools/issues/9203
+
 ## 3.8.2
 
 **Released on:** 2025-07-16
diff --git a/DEPS b/DEPS
index ef9338e..b2af89d 100644
--- a/DEPS
+++ b/DEPS
@@ -101,7 +101,7 @@
   "boringssl_rev": "8d8df26fc54f6e5fb0bf404a76ce973c0413eafc",
   "browser-compat-data_tag": "ac8cae697014da1ff7124fba33b0b4245cc6cd1b", # v1.0.22
   "cpu_features_rev": "936b9ab5515dead115606559502e3864958f7f6e",
-  "devtools_rev": "74b3c517ed8e6f52c3e0b84a066e3f3a623b7be9",
+  "devtools_rev": "dc35c60c969f21b4c4b60485d95b02a0072f69c5",
   "icu_rev": "43953f57b037778a1b8005564afabe214834f7bd",
   "jinja2_rev": "2222b31554f03e62600cd7e383376a7c187967a1",
   "libcxx_rev": "44079a4cc04cdeffb9cfe8067bfb3c276fb2bab0",