I like to have this feature also available for android.
"You can now pin private windows to your Windows taskbar on Window 10 and Windows 11 for simpler access. Also, private windows have been redesigned to increase the feeling of privacy."
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This feature already exists.
@KevinBrosnan on pc you have normal and private in separate windows. On mobile they aren't separate.
Is this when using a tablet or Chromebook?