如何让脚本窗口显示其输出并最后捕获其StdOut？

Question

当我重定向标准输出时，新脚本的处理窗口不会显示所有打印内容（显然，因为它已被重定向...）。

是否可以在脚本窗口（PowerShell或Python）中显示打印内容并在过程结束后捕获其输出？

var process = new Process {
    StartInfo = {
        FileName = path,
        Arguments = arguments,
        UseShellExecute = false,
        RedirectStandardOutput = true, // I want to capture stdout
    }
};

using (process) {
    process.Start();

    process.WaitForExit();

    var stdout = await process.StandardOutput.ReadToEndAsync().ConfigureAwait(false);
    // I do have the output in stdout now, but the script's window hasn't shown anything while it was running.
    // It makes me sad :-(
}