Pit Automaton

If an ability triggers whenever you activate an exhaust ability, that ability resolves before the exhaust ability resolves.

If an exhaust ability of a permanent is activated, and then that permanent leaves the battlefield and returns to the battlefield, it becomes a new object so its exhaust ability can be activated again.

Exhaust abilities can be activated any time you could normally activate an ability.

Pit Automaton has received an update to its Oracle text. Specifically, the delayed triggered ability doesn’t trigger if you activate an exhaust ability that is also a mana ability.