Let only on process do work

BackgroundWorker.cs

public class BackgroundWorker
{
    private Mutex mutex = new Mutex(true, "some-unique-id");

    public void Run()
    {
        bool handleAquired = false;
        
        try
        {
            handleAquired = mutex.WaitOne(1000);
        }
        catch (AbandonedMutexException)
        {
            handleAquired = true;
        }
        
        if (!handleAquired)
            return;

        try
        {
            // Do the stuff
        }
        finally
        {
            mutex.ReleaseMutext();
        }
    }
}