Originally Posted by CarsonCE
OK, disregard that comment. After doing some research, it seems to require room temperature to carbonate. I really need to brush up on my lagering techniques.
You were technically right, it would just take many months.
I would split apart the lagering and carbonating if I were you, but I also wouldn't naturally carb a lager because then you are re-introducing sediment after lagering to get rid of all of it.