What you posted is written  about Menu Items not the menu. I wrote you can use/ope the menu items you show in the File Menu that are not grayed out they are  available.   I wrote that as far as I know the is no way to open one of Photoshop's UI menu.  You seem to want to do that.  I do not believe that will be possible.  You would need to write a  invoke Photoshop as a sub-task and control Photoshop from the outside as though you were a human using Photoshop UI.  Would also the choose which menu Item to use.  If so in a Photoshop script you can use menu Items that are not grayed out.

Do you see the difference between Menu and Menu Item?

You can create a new Document  Open a new document dialog or open a open file dialog.    You can use those menu Item or create you you own dialog or doe it without a dialog.  I wrote  do not know a way to open a Photoshop a Photoshop menu like File.....

I do not think that is possible. All things that you can do in Photoshop's UI can not be automated with  Photoshop Actions and Scripts. You can open/use the available items in the File menu the ones you show that have not been grayed out.  I believe Photoshop UI process would need to be in control to open its menu File.  I do not believe a script can replace or take over control of Photoshop's UI.