[flutter_releases] Flutter stable 3.27.0 Framework Cherrypicks (#162538)

# Flutter stable 3.27.0 Framework

## Scheduled Cherrypicks
https://github.com/flutter/flutter/pull/162132

CHANGELOG.md

diff --git a/CHANGELOG.md b/CHANGELOG.md
index 4a3eb6f..c815612 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -26,6 +26,9 @@
 -->
 ## Flutter 3.27 Changes
 
+### [3.27.4](https://github.com/flutter/flutter/releases/tag/3.27.4)
+- [flutter/162132](https://github.com/flutter/flutter/pull/162132) On all platforms DropdownMenu's menuChildren might be placed somewhere far from menuAnchor.
+
 ### [3.27.3](https://github.com/flutter/flutter/releases/tag/3.27.3)
 - [flutter/159212](https://github.com/flutter/flutter/issues/159212) Track (via Google Analytics) if the Dart AOT Android "Deferred Components" feature is being meaningfully used.
 - [flutter/160631](https://github.com/flutter/flutter/issues/160631) Fixes an issue with Material 3 Tab Bar animations.

bin/internal/engine.version

diff --git a/bin/internal/engine.version b/bin/internal/engine.version
index 3243702..4c02878 100644
--- a/bin/internal/engine.version
+++ b/bin/internal/engine.version
@@ -1 +1 @@
-e672b006cb34c921db85b8e2f482ed3144a4574b
+82bd5b7209295a5b7ff8cae0df96e7870171e3a5