Planeswalkers can use a second ability in a turn during the cleanup step

This was done with [[Teferi, Master of Time]], but I suspect it would also work with [[Teferi, Temporal Archmage]]'s emblem.

The process is shown below. I use Teferi's +1 during the end step. Then, during the cleanup phase, my opponent discards to hand size. This triggers [[Tergrid, God of Fright]], which passes priority around the table. I can then activate Teferi for a second time this turn:


As you can see, I can actually put the ability on the stack:


And it resolves, resulting in me looting a card:


Then, on the following turn, I can activate Teferi again: