Set the application-id in the Linux shell (#60053)

packages/flutter_tools/lib/src/commands/create.dart

diff --git a/packages/flutter_tools/lib/src/commands/create.dart b/packages/flutter_tools/lib/src/commands/create.dart
index 6739f6e..76aeb17 100644
--- a/packages/flutter_tools/lib/src/commands/create.dart
+++ b/packages/flutter_tools/lib/src/commands/create.dart
@@ -747,13 +747,18 @@
     final String pluginClassSnakeCase = snakeCase(pluginClass);
     final String pluginClassCapitalSnakeCase = pluginClassSnakeCase.toUpperCase();
     final String appleIdentifier = _createUTIIdentifier(organization, projectName);
+    final String androidIdentifier = _createAndroidIdentifier(organization, projectName);
+    // Linux uses the same scheme as the Android identifier.
+    // https://developer.gnome.org/gio/stable/GApplication.html#g-application-id-is-valid
+    final String linuxIdentifier = androidIdentifier;
 
     return <String, dynamic>{
       'organization': organization,
       'projectName': projectName,
-      'androidIdentifier': _createAndroidIdentifier(organization, projectName),
+      'androidIdentifier': androidIdentifier,
       'iosIdentifier': appleIdentifier,
       'macosIdentifier': appleIdentifier,
+      'linuxIdentifier': linuxIdentifier,
       'description': projectDescription,
       'dartSdk': '$flutterRoot/bin/cache/dart-sdk',
       'androidMinApiLevel': android_common.minApiLevel,

packages/flutter_tools/lib/src/project.dart

diff --git a/packages/flutter_tools/lib/src/project.dart b/packages/flutter_tools/lib/src/project.dart
index 045b1e6..5bffb2f 100644
--- a/packages/flutter_tools/lib/src/project.dart
+++ b/packages/flutter_tools/lib/src/project.dart
@@ -1039,6 +1039,8 @@
   @override
   String get pluginConfigKey => LinuxPlugin.kConfigKey;
 
+  static final RegExp _applicationIdPattern = RegExp(r'''^\s*set\s*\(\s*APPLICATION_ID\s*"(.*)"\s*\)\s*$''');
+
   Directory get _editableDirectory => parent.directory.childDirectory('linux');
 
   /// The directory in the project that is managed by Flutter. As much as
@@ -1067,6 +1069,10 @@
   Directory get pluginSymlinkDirectory => ephemeralDirectory.childDirectory('.plugin_symlinks');
 
   Future<void> ensureReadyForPlatformSpecificTooling() async {}
+
+  String get applicationId {
+    return _firstMatchInFile(cmakeFile, _applicationIdPattern)?.group(1);
+  }
 }
 
 /// The Fuchsia sub project