Microsoft Planner: Where did my New plan option go?

GIF showing security trimming the New plan option
GIF showing security trimming the New plan option

This one should only affect administrators, but the behavior will also help explain why other users may not see the New plan option.  So what does this look like?  When Planner loads initially as it loads the New plan option can be seen – just above the Planner Hub option: But as the page finishes…