Add queued FFmpeg conversion and finish splitting the window from the host.

Co-authored-by: Cursor <cursoragent@cursor.com>

src/Explorer.FileOperations/FileOperationService.cs

@@ -88,6 +88,20 @@ public sealed class FileOperationService
     public Task VerifyArchiveAsync(string archivePath, CancellationToken cancellationToken = default)
         => _queue.EnqueueVerifyArchiveAsync(archivePath, cancellationToken);
 
+    public Task ConvertAsync(string sourcePath, string destinationPath, ConversionKind kind, CancellationToken cancellationToken = default)
+        => _queue.EnqueueConvertAsync(sourcePath, destinationPath, kind, cancellationToken);
+
+    public async Task ConvertAsync(IReadOnlyList<PlannedOperation> operations, CancellationToken cancellationToken = default)
+    {
+        foreach (var op in operations.Where(o => o.Op == TransferOp.Convert && o.DestinationPath is not null))
+        {
+            var kind = Enum.TryParse<ConversionKind>(op.NewName, true, out var parsed)
+                ? parsed
+                : ConversionFormats.Infer(op.SourcePath, op.DestinationPath!);
+            await _queue.EnqueueConvertAsync(op.SourcePath, op.DestinationPath!, kind, cancellationToken).ConfigureAwait(false);
+        }
+    }
+
     public static string UniqueArchivePath(string directory, string stem, string extension)
     {
         extension = extension.Trim().TrimStart('.');