Move admin actions to improved tooltips

[Luke-Oldenburg]

Ideally, we have better tooltips and move the admin tool stuff in there. This way, it can still be hidden by default until hovered, and with the tooltips, there's no layout shift.

Example with github:

Originally posted by @garyhtou in #11609 (comment)

[garyhtou]

@manuthecoder if you're interested, i'd love for you to take a shot at enabling HTML based tooltips