Finding Axis door?

Im trying to recreate this machine, but I have no idea how to create the correct position of the axis for the door and maybe moving manually and adjusting degrees I can get a little approach, but I even cant, someone can help ?
door.3dm (5.4 MB)
ROTATE door.gh (12.8 KB)
objective:


Looks like a 4 bar linkage, not a single pivot. One linkage at the top of the door and one at the bottom. For each linkage thre main body is one bar, the door is the second bar, the third bar at the top of the door is visible in the second video. I assume the lower linkage has a fourth bar which controls rotation of the door.

I don’t have expertise in 4 bar linkage design so cannot provide any help on how to design.

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