[flutter_tools] Add a timeout to another showBuildSettings command (#39579)

diff --git a/packages/flutter_tools/lib/src/ios/xcodeproj.dart b/packages/flutter_tools/lib/src/ios/xcodeproj.dart
index 5acc1c1..8c54c61 100644
--- a/packages/flutter_tools/lib/src/ios/xcodeproj.dart
+++ b/packages/flutter_tools/lib/src/ios/xcodeproj.dart
@@ -20,6 +20,7 @@
 import '../cache.dart';
 import '../globals.dart';
 import '../project.dart';
+import '../reporting/reporting.dart';
 
 final RegExp _settingExpr = RegExp(r'(\w+)\s*=\s*(.*)$');
 final RegExp _varExpr = RegExp(r'\$\(([^)]*)\)');
@@ -278,18 +279,20 @@
     final Status status = Status.withSpinner(
       timeout: timeoutConfiguration.fastOperation,
     );
+    final List<String> showBuildSettingsCommand = <String>[
+      _executable,
+      '-project',
+      fs.path.absolute(projectPath),
+      '-target',
+      target,
+      '-showBuildSettings',
+    ];
     try {
       // showBuildSettings is reported to ocassionally timeout. Here, we give it
       // a lot of wiggle room (locally on Flutter Gallery, this takes ~1s).
       // When there is a timeout, we retry once.
-      final RunResult result = await runCheckedAsync(<String>[
-          _executable,
-          '-project',
-          fs.path.absolute(projectPath),
-          '-target',
-          target,
-          '-showBuildSettings',
-        ],
+      final RunResult result = await runCheckedAsync(
+        showBuildSettingsCommand,
         workingDirectory: projectPath,
         timeout: timeout,
         timeoutRetries: 1,
@@ -297,6 +300,11 @@
       final String out = result.stdout.trim();
       return parseXcodeBuildSettings(out);
     } catch(error) {
+      if (error is ProcessException && error.toString().contains('timed out')) {
+        BuildEvent('xcode-show-build-settings-timeout',
+          command: showBuildSettingsCommand.join(' '),
+        ).send();
+      }
       printTrace('Unexpected failure to get the build settings: $error.');
       return const <String, String>{};
     } finally {