Using Mouse Hovered Over, within a Mouse Hovered Over - is this possible?

What I want…

When the user hovers over the File menu (File btn), the File menu layer will display.

When the File menu layer displays, I want it to stay open until the user hovers outside of the object (Picture1) in the File Layer.

Within the File layer I will have invisible buttons like New btn, that when the user hovers over it will display some text.  It seems this last piece breaks it.

If you preview the file it might make more sense. 

Do you have any suggestions in how to make this work?

Thank you in advance!

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