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Flaw in Speciall Theory of Relativity?

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Does relativity of simultaneity shows flaw when a third simultaneous even is introduced in the "Ladder Paradox" thought experiment.
Link to the Wikipedia page, treating the ladder paradox - click HERE to view.
Please study the content from the above link, and refer to it when examining the problem presented by me.
For better understanding I'll use the same graphics, modified for the purpose of the problem.

To question the credibility of the length contraction and the relativity of simultaneity I introduce a third simultaneous event in the ladder paradox problem, by attaching a rod to each door, which are welded perpendicularly on the inside of the doors, in a way that both rods touch when the doors are closed (the small added red lines on the graphics)
The rods are not on the way of the ladder, and can be placed in a way not to touch the floor.


As seen on the left graphic (garage frame of reference), the rods touch in the frame of the garage, when the doors are closed.
As an event, it should be present in the ladder frame of reference, but it is not.

A considerable flaw or it has an explanation?
Please comment.

Garage frame of reference Ladder reference frame