As someone who had a coffee addiction not long ago, not to mention sleep deprivation and workaholic issues, I HC strongly that Tim Drake also suffers from regular migraines before he crashes and needs to get help.
I had to put myself on a two week leave because of my migraine due to overconsumption on coffee and energy drinks, giving me regular body shakes and heavy drops in blood pressure. Because, after a while, you actually become somewhat immune to the energized effect of coffee. I decided to oneshot daily energy drinks to work through my work, which also affected my sleep and fatigue.
Now, imagine Tim Drake dealing with this BS + missing his spleen.
Dude would NOT last months with this before crashing. 😬
Tldr: coffee and energy drinks addiction fudges with your body. Don't do it.
EDIT: Even if I'm trying to better my habits by cutting down on coffee now, I still deal with daily small headaches, bodyaches, and migraines. Seriously, don't get addicted to coffee, and value your sleep.