How to migrate a bash script to run in windows .ps1 as a service?

Question

I am using winsw (see https://github.com/winsw/winsw) to run a ps1 file as a service in Windows 10. I need to run a bash script in that service.

I was hoping that I could execute a bash script in that .ps1 file just like I normally would in powershell, but the result is no stdout is produced in this case. Here is an example of my service file.

Write-Host "Test Service"

$ErrorActionPreference = "Stop"

$Timer = New-Object Timers.Timer
$Timer.Interval = 10000
$Timer.Enabled = $True
$Timer.AutoReset = $True
$objectEventArgs = @{
    InputObject = $Timer
    EventName = 'Elapsed'
    SourceIdentifier = 'myservicejob'
    Action = {
        $ErrorActionPreference = "Stop"
        
        Write-Host "Run bash script"
        bash /mnt/c/AppData/my-bash-script
        Write-Host "Finished running bash script"
    }
}
$Job = Register-ObjectEvent @objectEventArgs

Wait-Event

For the bash script (my-bash-script), a simple echo command will reproduce the problem:

#!/bin/bash
echo "my test"