Hey, thank you for giving it a try!
The buttons in the robot rooms unfortunately don't do anything as that content was cut, however you can progress from getting the key! All you need to do is use it on the button in the same room with the interact button, and that will allow you to walk up to the door next to it and it will automatically open. You will know that you used it correctly as a happy beep noise will happen when you interact with a button while holding the correct key. I hope this helps!
Editing to add: the jump and ledge grab abilities are found similarly to the key cards