Placing Clock on Title Bar

[GG2013]

Hallo,
I would like to place a digital clock on the title bar since there is spare space. I can place it in other areas but not on main window title bar.
Any help/idea would be greatly appreciated.

[ChrisW67]

Beyond the window title and some hints about windows controls the window title bar is painting is outside of Qt control.

[GG2013]

Thank you @ChrisW67 for your reply.