docs: Update Flutter version in Bare Flame game tutorial (#2815)

Update the output of flutter doctor and the contents of pubspec.yaml to reflect 2023.

.github/.cspell/dart_dictionary.txt

@@ -6,3 +6,4 @@ dartdocs # plural of dartdoc
 endtemplate # Use @endtemplate to close a @template block in dartdoc
 pubspec # dependency and configuration file of every Dart project
 typedefs # plural of typedef
+intelli # JetBrain's IDE

doc/tutorials/bare_flame_game.md

@@ -15,13 +15,18 @@ line:
 
 ```shell
 $ flutter doctor
-[✓] Flutter (Channel stable, 2.10.0, on macOS 12.3.1 21E258 darwin-x64, locale en)
-[✓] Android toolchain - develop for Android devices (Android SDK version 31.0.0)
-[✓] Xcode - develop for iOS and macOS (Xcode 13.1)
+Doctor summary (to see all details, run flutter doctor -v):
+[✓] Flutter (Channel stable, 3.13.7, on macOS 13.6 22G120 darwin-arm64, locale en)
+[✓] Android toolchain - develop for Android devices (Android SDK version 33.0.0)
+[✓] Xcode - develop for iOS and macOS (Xcode 15.0)
 [✓] Chrome - develop for the web
-[✓] Android Studio (version 2020.3)
-[✓] Connected device (1 available)
-[✓] HTTP Host Availability
+[✓] Android Studio (version 2021.2)
+[✓] IntelliJ IDEA Community Edition (version 2022.2.2)
+[✓] VS Code (version 1.83.0)
+[✓] Connected device (2 available)
+[✓] Network resources
+
+• No issues found!
 ```
 
 Your output will be slightly different, but the important thing is to verify that no errors are
@@ -96,8 +101,8 @@ version: 0.0.0
 publish_to: none
 
 environment:
-  sdk: ^2.16.0
-  flutter: ^2.10.0
+  sdk: ^3.0.0
+  flutter: ^3.13.0
 
 dependencies:
   flutter: