Can I lock a file before invoking File.Copy()

Question

I want to copy files from one directory to another with overwriting. For the sake of consistency I want to lock all destination files before copying, overwrite them, then unlock.

This question suggests using a FileStream for locking. However, both FileStream.Lock() or FileShare.None locks files from this process as well, making File.Copy() throw an IOException.

Here's a MVCE:

using System.Collections.Generic;
using System.IO;

namespace Test1
{
    public class Program
    {
        public static void Main(string[] args)
        {
            var oldDir = @"c:\old\";
            var newDir = @"c:\new\";

            var locks = new List<FileStream>();
            foreach (var item in Directory.EnumerateFiles(newDir))
            {
                var newLock = new FileStream(item, FileMode.Open, FileAccess.Read, FileShare.None);
                locks.Add(newLock);
            }

            foreach (var item in Directory.EnumerateFiles(oldDir))
            {
                var dest = Path.Combine(newDir, Path.GetFileName(item));
                File.Copy(item, dest, true);
            }
        }
    }
}

Is using the same FileStream for copying the only way, or can I still use File.Copy()? How?