Actually I only added that motion to make it easier to open the door. You are supposed to move it aroung with a handle, like a real door, but I can take that into consideration....

;-) nope.. I thought it would be sufficient to test it without.
But i think, i have a simpler logic solution.
Just use 2 capacitors for the two tracks. Delay the first in unloading and the second in loading and you get the desired motion.

First track moves the door out immediately.
The second track starts when the first has stopped moving.

Backwards, the second track will slide back immediately and the first track waits until motion has finished.

You need to time both motions, but you can get it quite easily

Have you fed it with electricity (the red relay on the top side)?

Are you sure this works as intended? Cant seem to press the button to close the door again