[bug]: flutterfire update throws ProcessException: System cannot find the specified file.

### Is there an existing issue for this?

- [X] I have searched the existing issues.

### CLI Version

0.2.7

### Firebase Tools version

12.9.1

### Flutter Doctor Output

[√] Flutter (Channel stable, 3.16.5, on Microsoft Windows [Version 10.0.22631.2861], locale tr-TR)
• Flutter version 3.16.5 on channel stable at C:\flutter
• Upstream repository https://github.com/flutter/flutter.git
• Framework revision 78666c8dc5 (10 days ago), 2023-12-19 16:14:14 -0800
• Engine revision 3f3e560236
• Dart version 3.2.3
• DevTools version 2.28.4

[√] Windows Version (Installed version of Windows is version 10 or higher)

[√] Android toolchain - develop for Android devices (Android SDK version 34.0.0)
• Android SDK at C:\Android\Sdk
• Platform android-34, build-tools 34.0.0
• Java binary at: C:\Program Files\Android\Android Studio\jbr\bin\java
• Java version OpenJDK Runtime Environment (build 17.0.6+0-b2043.56-10027231)
• All Android licenses accepted.

[X] Chrome - develop for the web (Cannot find Chrome executable at .\Google\Chrome\Application\chrome.exe)
! Cannot find Chrome. Try setting CHROME_EXECUTABLE to a Chrome executable.

[√] Visual Studio - develop Windows apps (Visual Studio Derleme Araçları 2022 17.8.1)
• Visual Studio at C:\Program Files (x86)\Microsoft Visual Studio\2022\BuildTools
• Visual Studio Derleme Araçları 2022 version 17.8.34316.72
• Windows 10 SDK version 10.0.22621.0

[√] Android Studio (version 2022.3)
• Android Studio at C:\Program Files\Android\Android Studio
• Flutter plugin can be installed from:
https://plugins.jetbrains.com/plugin/9212-flutter
• Dart plugin can be installed from:
https://plugins.jetbrains.com/plugin/6351-dart
• Java version OpenJDK Runtime Environment (build 17.0.6+0-b2043.56-10027231)

[√] VS Code (version 1.85.1)
• VS Code at C:\Users\Alper\AppData\Local\Programs\Microsoft VS Code
• Flutter extension version 3.80.0

[√] Connected device (2 available)
• Windows (desktop) • windows • windows-x64 • Microsoft Windows [Version 10.0.22631.2861]
• Edge (web) • edge • web-javascript • Microsoft Edge 120.0.2210.91

[√] Network resources
• All expected network resources are available.

### Description

When i run `flutterfire update` command in a flutter project i get following output

Cleaning up current workspace ...
Unhandled exception:
ProcessException: System cannot find the specified file.

Command: flutter clean
#0 _ProcessImpl._start (dart:io-patch/process_patch.dart:402:33)
#1 Process.start (dart:io-patch/process_patch.dart:38:20)
#2 _runNonInteractiveProcess (dart:io-patch/process_patch.dart:579:18)
#3 Process.run (dart:io-patch/process_patch.dart:49:12)
#4 UpdateCommand.run (package:flutterfire_cli/src/commands/update.dart:79:19)
#5 CommandRunner.runCommand (package:args/command_runner.dart:212:27)
#6 CommandRunner.run. (package:args/command_runner.dart:122:25)
#7 new Future.sync (dart:async/future.dart:305:31)
#8 CommandRunner.run (package:args/command_runner.dart:122:14)
#9 main (file:///C:/Users/Alper/AppData/Local/Pub/Cache/hosted/pub.dev/flutterfire_cli-0.2.7/bin/flutterfire.dart:57:48)

### Steps to reproduce

1. Create a new flutter project
2. Run `flutterfire configure` and follow steps
3. Run `flutterfire update`
4. See error

### Expected behavior

`flutterfire update` shouldn't throw error at command `flutter clean`. Normally `flutter clean` runs without any issue.

### Screenshots

_No response_

### Additional context and comments

_No response_