Accessing a "using variable" inside an awaited task

Question

In the following block of code I am receiving a warning on the proc variable, on the 3 lines inside the Task.Run. The warning states "Access to disposed closure". I believe that this code is actually safe; that the await on the task will prevent the using block from exiting and disposing proc. The code seems to work the way I expect, there are no errors at run time. However, I am a bit new to the Async / Await pattern and want to make sure that there isn't some subtle race condition, or something else that I am overlooking, that the warning is trying to alert me to.

Is the code inside the Task safe the way I have written it?

public async Task<int> BuildInstaller()
{
    var paths = new PathInfo();
    PrepareWorkingDirectory(paths);

    using (var proc = new Process())
    {
        proc.StartInfo.FileName = paths.MsBuildPath;
        proc.StartInfo.Arguments = $"{paths.SolutionDirectory}\\FoodSafety.Installer.sln /t:Rebuild /p:Configuration=SingleImage";
        proc.StartInfo.RedirectStandardOutput = true;
        proc.StartInfo.CreateNoWindow = true;
        proc.StartInfo.UseShellExecute = false;
        proc.OutputDataReceived += (sender, e) =>
        {
            Application.Current.Dispatcher.BeginInvoke(new Action(() => { BuildOutput.Add(e.Data); }), null);
        };

        await Task.Run(() =>
        {
            proc.Start();
            proc.BeginOutputReadLine();
            proc.WaitForExit();
        });

        return proc.ExitCode;
    }
}