Thanks for posting the video. 7:50 I would put maintain heading (with rudder) as my #1 action item after an engine failure, followed immediately by pitch for blue line (it's close to but not exactly the same thing as best glide). You need to know right away if you have adequate rudder for your given airspeed/power on the good engine, and maintaining heading is how you find out. If you can't maintain heading, this is your big clue to lower the nose and/or reduce power on the good engine (which you do by bringing back both throttles to make sure you're getting the live engine). I also like to keep glancing at the ASI every three seconds or so to make sure I'm maintaining blue line until I'm cleaned up and stable because it's really easy to let your airspeed decay, and that's deadly with an engine out.
That’s hardly an engine failure on takeoff! Plus don’t forget to feather the dead engine! I had a starboard engine quit at about 100+_feet in a Navaho and it was busy time, but it was for real. I give flight safety the credit for their training at the Navaho school they offer!