Dick had managed to get as far away from the scene of the fight as possible-which in his condition wasn't very. He only made it to the next roof over before he slipped and fell onto a fire escape where he winced and began to lose consciousness. He didn't want to stay near Jason and risk being shot point blank while he was down, who knew how many guns that kid had on him. He wasn't crazy or suicidal despite how things looked when Bruce finally arrived. He was fighting the heavy siren song of sleep but his body had shut down physically. Mentally it was like he'd checked out, his eyes were open and nobody was home. He could only vaguely see the sun beginning to rise an wondered if this was it. Breathing was laboring at best, he could taste blood in the back of his throat. As much as he tried to will his legs to move he couldn't. He couldn't bring himself to get up.
His eyes finally slid shut and his jet black bangs clung to his face and mask. His jaw was bruised and it really was a miracle given just how much damage they dished out to eachother that either of them survived. His pulse was there but his vitals were low.
When Bruce strapped him in his eyes opened only briefly but his body refused to listen to him. All he could do was fall limp against the buckles and try to focus on breathing. Still he managed to speak though it was barely audible. "Tried." Before things went black again and he lost consciousness for the second time.
The rest of the ride he was out, the blood flow stopped but he'd already lost too much to remain coherent. His body was numb so the aches and pains of the fight he didn't have to worry about yet. He didn't worry about anything anymore despite not being out of the woods of danger. Jason still needed to be found, Bruce needed to be warned, but all Dick could do was sleep. His mind was racing but it felt as though he were running under water. He hadn't realized that Bruce being there meant Jason was in there with them. Things weren't connecting and he didn't like it.
Once at the safe house and placed on the bed he didn't move, he didn't stir, he hardly even breathed until Bruce started giving him the blood he so desperately needed. Only then did he manage to take a few breaths and really sleep once the sedatives and pain killers kicked in, he was out. He would be out for a good long while.