core-tooltip is open when menu is open when used with a paper-menu-button

[Andersmholmgren]

See http://stackoverflow.com/questions/26415879/core-tooltip-is-open-when-menu-is-open-when-used-with-a-paper-menu-button

and http://jsbin.com/saziziwixu/2/edit?html,output

If you go to the jsbin and click on the menu you can observe that the tooltip still shows

[ebidel]

In this case, you can set the z-index of the tooltip popup to something smaller than core-drop-down menu produces:

core-tooltip::shadow #tooltip {
  z-index: 5;
}