IntelliJ IDEA's Background Tasks window can be shown by following Window → Background Tasks → Show in the main menu.
But once it's open, I can only hide the window by clicking on the top right dash button, which requires reaching for the pointing device.
Is there a way to hide IntelliJ IDEAD's Background Tasks window using only the keyboard (either by an existing keymap, or by navigating through the main menu)?
It's not possible at the moment, feel free to vote for the corresponding issue.