When the user chooses to print using the system dialog, we should hide the print
UI. We are choosing to hide the dialog stack instead of closing the dialog because
the print preview browser still needs to be available if the user tries to print.
We close the window if the user cancels the system dialog or once we receive the
promise from PrintUtils.printWindow.
Differential Revision: https://phabricator.services.mozilla.com/D88096