Thanks for posting your question in the Microsoft Q&A forum.
You can use the Get-ScheduledTask cmdlet along with a filter to specifically get the "Microsoft Compatibility Appraiser" task and then use Start-ScheduledTask to start it.
# Get the task with the name "Microsoft Compatibility Appraiser" in the specified path
$task = Get-ScheduledTask -TaskPath "\Microsoft\Windows\Application Experience" | Where-Object { $_.TaskName -eq "Microsoft Compatibility Appraiser" }
# Check if the task is found
if ($task) {
# Start the task
Start-ScheduledTask -Task $task
} else {
Write-Host "Task not found."
}