Remember collapsed/expanded vertical tabs bar per private window

Most of the time I open a private window (which is usually resized to a small size) with only one tab and switch between the private window and the main window (which will usually be full size and have many tabs open).

When I switch to the private window I want the vertical tab bar collapsed so that the content covers entire window. And when I switch to the main window I want to see the vertical tab bar expanded so that I can see all the tabs.

It would be a great feature if the brave could remember when the vertical tab bar is collapsed (or expanded) on a per private window basis.

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Would love having a per window preference as well. This could also be added to non-private windows imo.