Executing / Deleting EXE file

I need to have a .exe file execute after all of the files in the msi have been installed, and then I need to delete that .exe file after it has finished executing. How would I do that?

I have tried using a "Run Executable" custom action for the .exe file (ID = ExecuteFile) that is scheduled as "Deferred - Commit" and "Async wait", with the timing as "After- PublishComponents".

Then I created a Run LuaScript" custom action (ID = DeleteFile) that simply deletes the file in the luascript, which is scheduled as "Immediate" and "Check", with the timing as "After - ExecuteFile".

But the DeleteFile action always happens long before the ExecuteFile action. I would have thought that with the ExecuteFile action set as "Async wait" that the DeleteFile action would not happen until the ExecuteFile thread was completed.