Depending on what source you lookup, ~다가 보니까 has different definitions.

My textbook says it means "having learned something after repeated actions".

The page on How to Study Korean says:

While doing something, one realizes

However, I've now asked several Koreans about this and they seem to think a more accurate definition is "an unintentional consequence occurred because of some action".

Are all of these definitions correct? Which usage is most common in spoken Korean?

An example sentence causing me trouble:

도깨비를 계속 보다 보니까 지금 늦게 자요

Is this:

• Because I kept watching Goblin, I now sleep late. (I once watched Goblin until very late and now my sleep schedule has changed so that I sleep late each night)

• After having watched Goblin continuously, I am now going to sleep late (I watched Goblin a lot tonight and I just realized it's late, but now I will sleep)

• something else?