update windows chrome fma to use machine-scoped exe installer (#31118)

> Closes #27756

# Checklist for submitter

If some of the following don't apply, delete the relevant line.

<!-- Note that API documentation changes are now addressed by the
product design team. -->

- [x] Manual QA for all new/changed functionality

ee/maintained-apps/inputs/winget/scripts/google_chrome_install.ps1

@@ -0,0 +1,23 @@
+$exeFilePath = "${env:INSTALLER_PATH}"
+
+try {
+
+$processOptions = @{
+  FilePath = "$exeFilePath"
+  ArgumentList = "--do-not-launch-chrome --system-level"
+  PassThru = $true
+  Wait = $true
+}
+    
+# Start process and track exit code
+$process = Start-Process @processOptions
+$exitCode = $process.ExitCode
+
+# Prints the exit code
+Write-Host "Install exit code: $exitCode"
+Exit $exitCode
+
+} catch {
+  Write-Host "Error: $_"
+  Exit 1
+}

ee/maintained-apps/inputs/winget/scripts/google_chrome_uninstall.ps1

@@ -0,0 +1,78 @@
+$softwareName = "Google Chrome"
+
+$uninstallArgs = "--uninstall"
+
+$expectedExitCodes = @(19, 20)
+
+$machineKey = `
+ 'HKLM:\SOFTWARE\Microsoft\Windows\CurrentVersion\Uninstall\*'
+$machineKey32on64 = `
+ 'HKLM:\SOFTWARE\Wow6432Node\Microsoft\Windows\CurrentVersion\Uninstall\*'
+
+$exitCode = 0
+
+try {
+
+    [array]$uninstallKeys = Get-ChildItem `
+        -Path @($machineKey, $machineKey32on64) `
+        -ErrorAction SilentlyContinue |
+            ForEach-Object { Get-ItemProperty $_.PSPath }
+
+    $foundUninstaller = $false
+    foreach ($key in $uninstallKeys) {
+        if ($key.DisplayName -eq $softwareName) {
+            $foundUninstaller = $true
+            # Get the uninstall command.
+            $uninstallCommand = if ($key.QuietUninstallString) {
+                $key.QuietUninstallString
+            } else {
+                $key.UninstallString
+            }
+
+            # Split the command and args
+            $splitArgs = $uninstallCommand.Split('"')
+            if ($splitArgs.Length -gt 1) {
+                if ($splitArgs.Length -eq 3) {
+                    $uninstallArgs = "$( $splitArgs[2] ) $uninstallArgs".Trim()
+                } elseif ($splitArgs.Length -gt 3) {
+                    Throw `
+                        "Uninstall command contains multiple quoted strings. " +
+                            "Please update the uninstall script.`n" +
+                            "Uninstall command: $uninstallCommand"
+                }
+                $uninstallCommand = $splitArgs[1]
+            }
+            Write-Host "Uninstall command: $uninstallCommand"
+            Write-Host "Uninstall args: $uninstallArgs"
+
+            $processOptions = @{
+                FilePath = $uninstallCommand
+                PassThru = $true
+                Wait = $true
+                ArgumentList = "$uninstallArgs"
+            }
+
+            # Start process and track exit code
+            $process = Start-Process @processOptions
+            $exitCode = $process.ExitCode
+
+            Write-Host "Uninstall exit code: $exitCode"
+            break
+        }
+    }
+
+    if (-not $foundUninstaller) {
+        Write-Host "Uninstaller for '$softwareName' not found."
+        Exit 1
+    }
+
+} catch {
+    Write-Host "Error: $_"
+    Exit 1
+}
+
+if ($expectedExitCodes -contains $exitCode) {
+    $exitCode = 0
+}
+
+Exit $exitCode