no, like most signs in this universe, it will be ignored.

Only if you enter (assuming you’re authorized)

Don’t be ridiculous, of course there won’t be some kinda rip in spacetime or whatever.

The universe will simply not let anyone enter.

will it result in a paradox that creates an interdimensional rip in spacetime?

No, serious paradoxes appears only with impossible to ignore laws. Like physics laws. Simple bureaucracy is too weak to create paradox that creates an interdimensional rip in spacetime. It might create “bonus decrement” paradox though.