ratiocination
Tim's process of ratiocination will depend on his environment.
Usually, when he's in his usual focused funk, he'd be in a dazed state, unaware of his surroundings. His body will move on instinct, but his mind will be shut off from the world; he's on the track of wherever his train of thought will lead him to. Sometimes, Alfred will find him cradling a bowl of juice at the kitchen island, in the middle of the night. One time, Dick finds him dazed, and blank, draped over the bannister on the second floor stairs.
Damian has half a mind to ignore the idiot, and leave him to his devices. But he couldn't just leave the lobotomized fool break his legs from falling down the stairs, face first in his trance-like state. He wouldn't want his father's and Grayson's attention on him. So he wheels the moron around, and leads him to his room, where instead of opening the door for himself, he slumps against the doorframe, mumbling unintelligent nothings.
He decides that's the best time to leave. He'd rather not get caught helping Drake.
It was both Jason and Cass who find him in that state, hanging out his bedroom window, his feet dangling in the air. His one arm was what's keeping him in place, but from where Jason was perched on the tree nearest the window, he can see his eyes shaking, as if he was coming close to a conclusion. He figures if in this state, he wraps up his musings, he could startle himself and let go of the ledge.
He switches places with Cass, who taps him on the shoulder, in hopes of rousing him from his thoughts. Tim snaps out of it, looking at Cass with dead shot eyes, then realising where he was. As they had expected, he startles himself, and his other hand slips when he tried grabbing for the ledge.
Jason catches him on the ground, two floors below the window. They fall into a heap on the ground, with Cass jumping down on both of them. Jason groans from under the two, shoving the teen off of him, as he helps Cass back up to her feet.
"Never again, you moron." Jason tells Tim, hitting his on the topside of his head. "Never again."