PowerShell script to start JupyterLab with workspace URL directly. Now, the using browser is fixed by Chrome, so rewrite line 24 if you want to change to another one.

Start-JupyterLab.ps1

[CmdletBinding()]
param (
    [Parameter(Mandatory = $True)]
    [string]
    $Workspace
)

Write-Verbose ('Workspace : {0}' -f $Workspace)

$psi = New-Object System.Diagnostics.ProcessStartInfo
$psi.FileName = 'jupyter-lab'
$psi.Arguments = '--no-browser'
$psi.UseShellExecute = $false
$psi.RedirectStandardError = $true
$p = [System.Diagnostics.Process]::Start($psi)

$task = $p.StandardError.ReadLineAsync()
while (!$p.WaitForExit(1)) {
    if ($task.IsCompleted) {
        $line = $task.Result
        $uri = $null
        if ([uri]::TryCreate($line, [System.UriKind]::Absolute, [ref]$uri) -and ![string]::IsNullOrEmpty($uri.Host)) {
            $wsUri = New-Object uri $uri, $Workspace
            start chrome $wsUri.AbsoluteUri
        }
        $line
        $task.Dispose()
        $task = $p.StandardError.ReadLineAsync()
    }
    else {
        Start-Sleep 1
    }
}