Bump dart to 3.10.1 (flutter#178869)

* Part 1/2 to fix flutter#178772 
* Fixes flutter#178804

Author: reidbaker

CHANGELOG.md

@@ -32,6 +32,11 @@ docs/releases/Hotfix-Documentation-Best-Practices.md
 
 ## Flutter 3.38 Changes
 
+### [3.38.3](https://github.com/flutter/flutter/releases/tag/3.38.3)
+
+- [flutter/178772](https://github.com/flutter/flutter/issues/178772) Flutter engine reports a different version than the framework.
+- [flutter/178804](https://github.com/flutter/flutter/issues/178804) Bump Dart version to [3.10.1](https://github.com/dart-lang/sdk/blob/3.10.1/CHANGELOG.md#3101).
+
 ### [3.38.2](https://github.com/flutter/flutter/releases/tag/3.38.2)
 
 - [flutter/178472](https://github.com/flutter/flutter/issues/178472) Widget preview command can crash on exit if in the middle of analyzing changes to a Dart file.

DEPS

@@ -56,7 +56,7 @@ vars = {
   # Dart is: https://github.com/dart-lang/sdk/blob/main/DEPS
   # You can use //tools/dart/create_updated_flutter_deps.py to produce
   # updated revision list of existing dependencies.
-  'dart_revision': 'b1a587b650acd12239743dd1f9d88d6fe19ae442',
+  'dart_revision': '13d929085afa86e5902ed7293cca8509f099ee97',
 
   # WARNING: DO NOT EDIT MANUALLY
   # The lines between blank lines above and below are generated by a script. See create_updated_flutter_deps.py
@@ -314,7 +314,7 @@ deps = {
    Var('dart_git') + '/dart_style.git@ca019b0498692ad78f5f0f0f6208a1258e17fc90',
 
   'engine/src/flutter/third_party/dart/third_party/pkg/dartdoc':
-   Var('dart_git') + '/dartdoc.git@ec2a4feee51961e9fbdd2bd94060cc8fc994c47e',
+   Var('dart_git') + '/dartdoc.git@98d03ad2cc341d1fb053e0addfc96ba35301976b',
 
   'engine/src/flutter/third_party/dart/third_party/pkg/ecosystem':
    Var('dart_git') + '/ecosystem.git' + '@' + Var('dart_ecosystem_rev'),