@iAN-CooG @Pesala Dude, I think there was a misunderstanding about my request due to my poor English, because I changed the word ‘window’ to ‘tab’, I apologise for that.
What I need is a button shortcut to create a new private window, like in Firefox, that can be added to the top toolbar. I don't want the private windows to mix with the normal tabs.
I'll illustrate with images:
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This is the Firefox toolbar editor, and as you can see, it has an item called ‘New private window’, which is equivalent to the various clicks in the Vivaldi menu, Vivaldi Symbol > File > New Private Window.
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This is where you can add the shortcut to the new private window, you can place it in any corner of the address bar.
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This is Vivaldi's toolbar editor, and this is how I would like the ‘New Private Window’ shortcut to be made available.
I think the suggestion is more understandable with this more detailed visual explanation.