Forward ProcessException to error handlers (#44783)

diff --git a/packages/flutter_tools/test/general.shard/android/gradle_test.dart b/packages/flutter_tools/test/general.shard/android/gradle_test.dart
index 294716e..8f13098 100644
--- a/packages/flutter_tools/test/general.shard/android/gradle_test.dart
+++ b/packages/flutter_tools/test/general.shard/android/gradle_test.dart
@@ -1266,6 +1266,123 @@
       Usage: () => mockUsage,
     });
 
+    testUsingContext('recognizes process exceptions - tool exit', () async {
+      when(mockProcessManager.start(any,
+        workingDirectory: anyNamed('workingDirectory'),
+        environment: anyNamed('environment')))
+      .thenThrow(const ProcessException('', <String>[], 'Some gradle message'));
+
+      fs.directory('android')
+        .childFile('build.gradle')
+        .createSync(recursive: true);
+
+      fs.directory('android')
+        .childFile('gradle.properties')
+        .createSync(recursive: true);
+
+      fs.directory('android')
+        .childDirectory('app')
+        .childFile('build.gradle')
+        ..createSync(recursive: true)
+        ..writeAsStringSync('apply from: irrelevant/flutter.gradle');
+
+      bool handlerCalled = false;
+      await expectLater(() async {
+       await buildGradleApp(
+          project: FlutterProject.current(),
+          androidBuildInfo: const AndroidBuildInfo(
+            BuildInfo(
+              BuildMode.release,
+              null,
+            ),
+          ),
+          target: 'lib/main.dart',
+          isBuildingBundle: false,
+          localGradleErrors: <GradleHandledError>[
+            GradleHandledError(
+              test: (String line) {
+                return line.contains('Some gradle message');
+              },
+              handler: ({
+                String line,
+                FlutterProject project,
+                bool usesAndroidX,
+                bool shouldBuildPluginAsAar,
+              }) async {
+                handlerCalled = true;
+                return GradleBuildStatus.exit;
+              },
+              eventLabel: 'random-event-label',
+            ),
+          ],
+        );
+      },
+      throwsToolExit(
+        message: 'Gradle task assembleRelease failed with exit code 1'
+      ));
+
+      expect(handlerCalled, isTrue);
+
+      verify(mockUsage.sendEvent(
+        any,
+        any,
+        label: 'gradle-random-event-label-failure',
+        parameters: anyNamed('parameters'),
+      )).called(1);
+
+    }, overrides: <Type, Generator>{
+      AndroidSdk: () => mockAndroidSdk,
+      Cache: () => cache,
+      Platform: () => android,
+      FileSystem: () => fs,
+      ProcessManager: () => mockProcessManager,
+      Usage: () => mockUsage,
+    });
+
+    testUsingContext('rethrows unrecognized ProcessException', () async {
+      when(mockProcessManager.start(any,
+        workingDirectory: anyNamed('workingDirectory'),
+        environment: anyNamed('environment')))
+      .thenThrow(const ProcessException('', <String>[], 'Unrecognized'));
+
+      fs.directory('android')
+        .childFile('build.gradle')
+        .createSync(recursive: true);
+
+      fs.directory('android')
+        .childFile('gradle.properties')
+        .createSync(recursive: true);
+
+      fs.directory('android')
+        .childDirectory('app')
+        .childFile('build.gradle')
+        ..createSync(recursive: true)
+        ..writeAsStringSync('apply from: irrelevant/flutter.gradle');
+
+      await expectLater(() async {
+       await buildGradleApp(
+          project: FlutterProject.current(),
+          androidBuildInfo: const AndroidBuildInfo(
+            BuildInfo(
+              BuildMode.release,
+              null,
+            ),
+          ),
+          target: 'lib/main.dart',
+          isBuildingBundle: false,
+          localGradleErrors: const <GradleHandledError>[],
+        );
+      },
+      throwsA(isInstanceOf<ProcessException>()));
+
+    }, overrides: <Type, Generator>{
+      AndroidSdk: () => mockAndroidSdk,
+      Cache: () => cache,
+      Platform: () => android,
+      FileSystem: () => fs,
+      ProcessManager: () => mockProcessManager,
+    });
+
     testUsingContext('logs success event after a sucessful retry', () async {
       int testFnCalled = 0;
       when(mockProcessManager.start(any,