Using lorialis' route for Episode 4 Day 2, skipping the Arcade story beat, as well as skipping Proper Rhythm (All There Is To It) by gaining control before being forced into dialogue with Penny at the 50F elevator controls, just hold your dialogue turbo as you activate the door to Shipping and Receiving and you should gain control as Penny's speech bubble pops up, then just head out the door and over to the Zero Moment room

and you know… if the run were truly timed to last input, then this run would technically be a 3:06:00

(I personally think ending time on that cop is stupid, but hey, what do I know? I'm not the moderator here)